text
stringlengths 49
120
|
|---|
Solve[-2 - 72*z + 92*z^2 == -66, z] == {{z -> (9 - I*Sqrt[287])/23}, {z -> (9 + I*Sqrt[287])/23}} |
Solve[78 + 34*p + 54*p^2 == -88, p] == {{p -> (-17 - (5*I)*Sqrt[347])/54}, {p -> (-17 + (5*I)*Sqrt[347])/54}} |
Solve[-67 + 11*r + 69*r^2 == -34, r] == {{r -> (-11 - Sqrt[9229])/138}, {r -> (-11 + Sqrt[9229])/138}} |
Solve[-82 - 65*h + 52*h^2 == -62, h] == {{h -> (65 - Sqrt[8385])/104}, {h -> (65 + Sqrt[8385])/104}} |
Solve[8 + 72*g - 17*g^2 == -91, g] == {{g -> (3*(12 - Sqrt[331]))/17}, {g -> (3*(12 + Sqrt[331]))/17}} |
Solve[-46 - 35*k - 87*k^2 == 13, k] == {{k -> (-35 - I*Sqrt[19307])/174}, {k -> (-35 + I*Sqrt[19307])/174}} |
Solve[-44 + 98*p - 27*p^2 == 44, p] == {{p -> 44/27}, {p -> 2}} |
Solve[-9 + 76*u + 20*u^2 == 50, u] == {{u -> (-19 - 4*Sqrt[41])/10}, {u -> (-19 + 4*Sqrt[41])/10}} |
Solve[81 - 23*q + 83*q^2 == 14, q] == {{q -> (23 - I*Sqrt[21715])/166}, {q -> (23 + I*Sqrt[21715])/166}} |
Solve[97 - 63*h + 77*h^2 == -70, h] == {{h -> (63 - I*Sqrt[47467])/154}, {h -> (63 + I*Sqrt[47467])/154}} |
Solve[26 + 36*p + 33*p^2 == -2, p] == {{p -> (2*(-9 - (5*I)*Sqrt[6]))/33}, {p -> (2*(-9 + (5*I)*Sqrt[6]))/33}} |
Solve[-60 - 80*m + 77*m^2 == -83, m] == {{m -> (40 - (3*I)*Sqrt[19])/77}, {m -> (40 + (3*I)*Sqrt[19])/77}} |
Solve[49 - 19*z - 76*z^2 == 59, z] == {{z -> (-19 - I*Sqrt[2679])/152}, {z -> (-19 + I*Sqrt[2679])/152}} |
Solve[59 + 55*u - 11*u^2 == 9, u] == {{u -> (5*(11 - Sqrt[209]))/22}, {u -> (5*(11 + Sqrt[209]))/22}} |
Solve[69 - 47*t - 73*t^2 == -70, t] == {{t -> (-47 - Sqrt[42797])/146}, {t -> (-47 + Sqrt[42797])/146}} |
Solve[5 - 20*f + 31*f^2 == -56, f] == {{f -> (10 - (3*I)*Sqrt[199])/31}, {f -> (10 + (3*I)*Sqrt[199])/31}} |
Solve[83 - 64*i - 9*i^2 == 26, i] == {{i -> (-32 - Sqrt[1537])/9}, {i -> (-32 + Sqrt[1537])/9}} |
Solve[-65 - 44*t + 56*t^2 == 50, t] == {{t -> (11 - Sqrt[1731])/28}, {t -> (11 + Sqrt[1731])/28}} |
Solve[64 + 10*l - 82*l^2 == 58, l] == {{l -> (5 - Sqrt[517])/82}, {l -> (5 + Sqrt[517])/82}} |
Solve[68 + 96*o + 10*o^2 == -75, o] == {{o -> (-48 - Sqrt[874])/10}, {o -> (-48 + Sqrt[874])/10}} |
Solve[-65 - 88*q + 34*q^2 == 44, q] == {{q -> (44 - Sqrt[5642])/34}, {q -> (44 + Sqrt[5642])/34}} |
Solve[5 - 25*n + 46*n^2 == 61, n] == {{n -> (25 - Sqrt[10929])/92}, {n -> (25 + Sqrt[10929])/92}} |
Solve[-33 + 10*x - 58*x^2 == 76, x] == {{x -> (5 - I*Sqrt[6297])/58}, {x -> (5 + I*Sqrt[6297])/58}} |
Solve[57 + 68*m - 18*m^2 == -26, m] == {{m -> (34 - 5*Sqrt[106])/18}, {m -> (34 + 5*Sqrt[106])/18}} |
Solve[-58 + 71*s - 84*s^2 == 54, s] == {{s -> (71 - I*Sqrt[32591])/168}, {s -> (71 + I*Sqrt[32591])/168}} |
Solve[-91 + 19*f - 56*f^2 == 94, f] == {{f -> (19 - I*Sqrt[41079])/112}, {f -> (19 + I*Sqrt[41079])/112}} |
Solve[58 + 38*w + 19*w^2 == -88, w] == {{w -> (-19 - I*Sqrt[2413])/19}, {w -> (-19 + I*Sqrt[2413])/19}} |
Solve[88 - 31*n + 55*n^2 == -68, n] == {{n -> (31 - I*Sqrt[33359])/110}, {n -> (31 + I*Sqrt[33359])/110}} |
Solve[-15 + 59*c + 70*c^2 == -90, c] == {{c -> (-59 - I*Sqrt[17519])/140}, {c -> (-59 + I*Sqrt[17519])/140}} |
Solve[26 - 92*z - 22*z^2 == 32, z] == {{z -> (-23 - 4*Sqrt[31])/11}, {z -> (-23 + 4*Sqrt[31])/11}} |
Solve[80 + 79*d + 62*d^2 == 83, d] == {{d -> (-79 - Sqrt[6985])/124}, {d -> (-79 + Sqrt[6985])/124}} |
Solve[47 + 49*d + 15*d^2 == -40, d] == {{d -> (-49 - I*Sqrt[2819])/30}, {d -> (-49 + I*Sqrt[2819])/30}} |
Solve[-78 - 31*z + 87*z^2 == 72, z] == {{z -> (31 - Sqrt[53161])/174}, {z -> (31 + Sqrt[53161])/174}} |
Solve[-80 + 99*v - 49*v^2 == 82, v] == {{v -> (9*(11 - I*Sqrt[271]))/98}, {v -> (9*(11 + I*Sqrt[271]))/98}} |
Solve[45 + 4*k + 56*k^2 == -97, k] == {{k -> (-1 - I*Sqrt[1987])/28}, {k -> (-1 + I*Sqrt[1987])/28}} |
Solve[6 + 6*i - 32*i^2 == -1, i] == {{i -> (3 - Sqrt[233])/32}, {i -> (3 + Sqrt[233])/32}} |
Solve[87 + 74*l - 43*l^2 == -25, l] == {{l -> (37 - Sqrt[6185])/43}, {l -> (37 + Sqrt[6185])/43}} |
Solve[39 - 2*e + 81*e^2 == 93, e] == {{e -> (1 - 25*Sqrt[7])/81}, {e -> (1 + 25*Sqrt[7])/81}} |
Solve[58 - 33*y - 80*y^2 == 31, y] == {{y -> (3*(-11 - Sqrt[1081]))/160}, {y -> (3*(-11 + Sqrt[1081]))/160}} |
Solve[90 - 25*o - 57*o^2 == 50, o] == {{o -> (-25 - Sqrt[9745])/114}, {o -> (-25 + Sqrt[9745])/114}} |
Solve[38 - 69*r + 51*r^2 == 18, r] == {{r -> (69 - Sqrt[681])/102}, {r -> (69 + Sqrt[681])/102}} |
Solve[-89 - 49*i + 88*i^2 == -57, i] == {{i -> (49 - Sqrt[13665])/176}, {i -> (49 + Sqrt[13665])/176}} |
Solve[-23 + 21*c - 99*c^2 == 66, c] == {{c -> (7 - I*Sqrt[3867])/66}, {c -> (7 + I*Sqrt[3867])/66}} |
Solve[-78 - 89*s - 76*s^2 == -43, s] == {{s -> (-89 - I*Sqrt[2719])/152}, {s -> (-89 + I*Sqrt[2719])/152}} |
Solve[-43 - 57*n - 43*n^2 == -25, n] == {{n -> (3*(-19 - Sqrt[17]))/86}, {n -> (3*(-19 + Sqrt[17]))/86}} |
Solve[67 - 33*c - 52*c^2 == -10, c] == {{c -> (-33 - Sqrt[17105])/104}, {c -> (-33 + Sqrt[17105])/104}} |
Solve[40 + 86*j + 91*j^2 == 80, j] == {{j -> (-43 - Sqrt[5489])/91}, {j -> (-43 + Sqrt[5489])/91}} |
Solve[-78 + 83*m + 61*m^2 == 63, m] == {{m -> (-83 - Sqrt[41293])/122}, {m -> (-83 + Sqrt[41293])/122}} |
Solve[37 + 20*i - 78*i^2 == -8, i] == {{i -> (10 - 19*Sqrt[10])/78}, {i -> (10 + 19*Sqrt[10])/78}} |
Solve[-27 + 72*r + 27*r^2 == -87, r] == {{r -> -4/3 - (2*I)/3}, {r -> -4/3 + (2*I)/3}} |
Solve[-38 + 51*i - 49*i^2 == -97, i] == {{i -> (51 - Sqrt[14165])/98}, {i -> (51 + Sqrt[14165])/98}} |
Solve[49 - 91*p + 32*p^2 == 11, p] == {{p -> (91 - Sqrt[3417])/64}, {p -> (91 + Sqrt[3417])/64}} |
Solve[82 + 88*r + 76*r^2 == 58, r] == {{r -> (-11 - Sqrt[7])/19}, {r -> (-11 + Sqrt[7])/19}} |
Solve[-47 + 59*f - 45*f^2 == -14, f] == {{f -> (59 - I*Sqrt[2459])/90}, {f -> (59 + I*Sqrt[2459])/90}} |
Solve[-6 - 89*j - 14*j^2 == -29, j] == {{j -> (-89 - Sqrt[9209])/28}, {j -> (-89 + Sqrt[9209])/28}} |
Solve[-49 - 30*m + 23*m^2 == 98, m] == {{m -> (15 - Sqrt[3606])/23}, {m -> (15 + Sqrt[3606])/23}} |
Solve[10 - 5*x - 69*x^2 == -69, x] == {{x -> (-5 - Sqrt[21829])/138}, {x -> (-5 + Sqrt[21829])/138}} |
Solve[75 - 69*t - 36*t^2 == -84, t] == {{t -> (-23 - Sqrt[3073])/24}, {t -> (-23 + Sqrt[3073])/24}} |
Solve[-46 + 28*y - 62*y^2 == -15, y] == {{y -> (14 - I*Sqrt[1726])/62}, {y -> (14 + I*Sqrt[1726])/62}} |
Solve[51 + 69*x - 45*x^2 == 39, x] == {{x -> (23 - Sqrt[769])/30}, {x -> (23 + Sqrt[769])/30}} |
Solve[35 - 48*w - 74*w^2 == -46, w] == {{w -> (3*(-8 - Sqrt[730]))/74}, {w -> (3*(-8 + Sqrt[730]))/74}} |
Solve[-68 + 30*m + 45*m^2 == -86, m] == {{m -> (-5 - I*Sqrt[65])/15}, {m -> (-5 + I*Sqrt[65])/15}} |
Solve[-73 + 46*l + 68*l^2 == 38, l] == {{l -> (-23 - Sqrt[8077])/68}, {l -> (-23 + Sqrt[8077])/68}} |
Solve[17 - 16*y + 38*y^2 == -33, y] == {{y -> (4 - (3*I)*Sqrt[51])/19}, {y -> (4 + (3*I)*Sqrt[51])/19}} |
Solve[64 + 81*c - 6*c^2 == 18, c] == {{c -> (81 - Sqrt[7665])/12}, {c -> (81 + Sqrt[7665])/12}} |
Solve[65 - 56*q - 68*q^2 == 86, q] == {{q -> (-14 - I*Sqrt[161])/34}, {q -> (-14 + I*Sqrt[161])/34}} |
Solve[-94 - 46*a - 40*a^2 == -27, a] == {{a -> (-23 - (3*I)*Sqrt[239])/40}, {a -> (-23 + (3*I)*Sqrt[239])/40}} |
Solve[-86 + 36*y - 9*y^2 == -28, y] == {{y -> (6 - I*Sqrt[22])/3}, {y -> (6 + I*Sqrt[22])/3}} |
Solve[85 - 66*j - 83*j^2 == -82, j] == {{j -> (-33 - 5*Sqrt[598])/83}, {j -> (-33 + 5*Sqrt[598])/83}} |
Solve[93 + 49*w - 40*w^2 == 54, w] == {{w -> (49 - Sqrt[8641])/80}, {w -> (49 + Sqrt[8641])/80}} |
Solve[-22 - 88*u - 96*u^2 == 77, u] == {{u -> (-11 - I*Sqrt[473])/24}, {u -> (-11 + I*Sqrt[473])/24}} |
Solve[82 - 80*h + 32*h^2 == -32, h] == {{h -> (5 - (4*I)*Sqrt[2])/4}, {h -> (5 + (4*I)*Sqrt[2])/4}} |
Solve[-21 + 87*q - 75*q^2 == 52, q] == {{q -> (87 - I*Sqrt[14331])/150}, {q -> (87 + I*Sqrt[14331])/150}} |
Solve[90 - 71*z - 40*z^2 == 9, z] == {{z -> (-71 - Sqrt[18001])/80}, {z -> (-71 + Sqrt[18001])/80}} |
Solve[-72 - 31*h - 49*h^2 == 80, h] == {{h -> (-31 - I*Sqrt[28831])/98}, {h -> (-31 + I*Sqrt[28831])/98}} |
Solve[-18 + 78*u + 4*u^2 == -48, u] == {{u -> (-39 - Sqrt[1401])/4}, {u -> (-39 + Sqrt[1401])/4}} |
Solve[69 - 88*b + 50*b^2 == 64, b] == {{b -> (44 - Sqrt[1686])/50}, {b -> (44 + Sqrt[1686])/50}} |
Solve[35 - 71*n + 78*n^2 == -70, n] == {{n -> (71 - I*Sqrt[27719])/156}, {n -> (71 + I*Sqrt[27719])/156}} |
Solve[-82 + 44*p - 46*p^2 == 81, p] == {{p -> (22 - I*Sqrt[7014])/46}, {p -> (22 + I*Sqrt[7014])/46}} |
Solve[86 + c + 53*c^2 == 91, c] == {{c -> (-1 - Sqrt[1061])/106}, {c -> (-1 + Sqrt[1061])/106}} |
Solve[20 + 13*x + 22*x^2 == -82, x] == {{x -> (-13 - I*Sqrt[8807])/44}, {x -> (-13 + I*Sqrt[8807])/44}} |
Solve[27 + 93*w - 25*w^2 == -15, w] == {{w -> (93 - Sqrt[12849])/50}, {w -> (93 + Sqrt[12849])/50}} |
Solve[-38 - 33*c + 13*c^2 == -11, c] == {{c -> (3*(11 - Sqrt[277]))/26}, {c -> (3*(11 + Sqrt[277]))/26}} |
Solve[17 + 38*c - 21*c^2 == 43, c] == {{c -> (19 - I*Sqrt[185])/21}, {c -> (19 + I*Sqrt[185])/21}} |
Solve[37 - 78*h + 53*h^2 == 28, h] == {{h -> (3*(13 - 2*Sqrt[29]))/53}, {h -> (3*(13 + 2*Sqrt[29]))/53}} |
Solve[-67 - 49*d - 79*d^2 == 78, d] == {{d -> (-49 - I*Sqrt[43419])/158}, {d -> (-49 + I*Sqrt[43419])/158}} |
Solve[33 + 61*t + 38*t^2 == 61, t] == {{t -> (-61 - Sqrt[7977])/76}, {t -> (-61 + Sqrt[7977])/76}} |
Solve[40 - 18*j - 55*j^2 == -39, j] == {{j -> (-9 - Sqrt[4426])/55}, {j -> (-9 + Sqrt[4426])/55}} |
Solve[3 - 6*i + 47*i^2 == -95, i] == {{i -> (3 - I*Sqrt[4597])/47}, {i -> (3 + I*Sqrt[4597])/47}} |
Solve[76 - 58*o - 54*o^2 == 62, o] == {{o -> (-29 - Sqrt[1597])/54}, {o -> (-29 + Sqrt[1597])/54}} |
Solve[51 - 84*i + 94*i^2 == 19, i] == {{i -> (21 - I*Sqrt[311])/47}, {i -> (21 + I*Sqrt[311])/47}} |
Solve[-90 + 77*d - 55*d^2 == 56, d] == {{d -> (77 - I*Sqrt[26191])/110}, {d -> (77 + I*Sqrt[26191])/110}} |
Solve[41 + 48*g - 62*g^2 == 45, g] == {{g -> (12 - Sqrt[82])/31}, {g -> (12 + Sqrt[82])/31}} |
Solve[4 + 59*t - 20*t^2 == 16, t] == {{t -> (59 - Sqrt[2521])/40}, {t -> (59 + Sqrt[2521])/40}} |
Solve[-91 + 24*w - 47*w^2 == -96, w] == {{w -> (12 - Sqrt[379])/47}, {w -> (12 + Sqrt[379])/47}} |
Solve[5 + 32*e - 25*e^2 == 11, e] == {{e -> (16 - Sqrt[106])/25}, {e -> (16 + Sqrt[106])/25}} |
Solve[-16 + 37*u - 84*u^2 == -83, u] == {{u -> (37 - Sqrt[23881])/168}, {u -> (37 + Sqrt[23881])/168}} |
Solve[9 - 74*i - 37*i^2 == -15, i] == {{i -> (-37 - Sqrt[2257])/37}, {i -> (-37 + Sqrt[2257])/37}} |
Solve[75 - 24*s - 67*s^2 == -98, s] == {{s -> (-12 - Sqrt[11735])/67}, {s -> (-12 + Sqrt[11735])/67}} |
Solve[-45 + 36*b - 71*b^2 == 21, b] == {{b -> (18 - I*Sqrt[4362])/71}, {b -> (18 + I*Sqrt[4362])/71}} |