Datasets:

arnoudbuzing

/

quadratic-equation-training

like 2

Solve[96 + 64*u + 26*u^2 == -7, u] == {{u -> (-32 - I*Sqrt[1654])/26}, {u -> (-32 + I*Sqrt[1654])/26}}

Solve[19 - 93*h + 52*h^2 == -72, h] == {{h -> (93 - I*Sqrt[10279])/104}, {h -> (93 + I*Sqrt[10279])/104}}

Solve[24 - 71*j + 5*j^2 == 64, j] == {{j -> (71 - 3*Sqrt[649])/10}, {j -> (71 + 3*Sqrt[649])/10}}

Solve[97 - 8*j - 77*j^2 == 33, j] == {{j -> (4*(-1 - Sqrt[309]))/77}, {j -> (4*(-1 + Sqrt[309]))/77}}

Solve[62 - 18*j + 21*j^2 == 88, j] == {{j -> (9 - Sqrt[627])/21}, {j -> (9 + Sqrt[627])/21}}

Solve[96 - 27*p + 17*p^2 == -49, p] == {{p -> (27 - I*Sqrt[9131])/34}, {p -> (27 + I*Sqrt[9131])/34}}

Solve[-96 - 65*q - 71*q^2 == -98, q] == {{q -> (-65 - Sqrt[4793])/142}, {q -> (-65 + Sqrt[4793])/142}}

Solve[75 + 88*s - 15*s^2 == -53, s] == {{s -> (4*(11 - Sqrt[241]))/15}, {s -> (4*(11 + Sqrt[241]))/15}}

Solve[86 - 25*r - 69*r^2 == 29, r] == {{r -> (-25 - Sqrt[16357])/138}, {r -> (-25 + Sqrt[16357])/138}}

Solve[-36 - 51*g - 26*g^2 == 45, g] == {{g -> (3*(-17 - I*Sqrt[647]))/52}, {g -> (3*(-17 + I*Sqrt[647]))/52}}

Solve[69 - 71*h - 9*h^2 == -43, h] == {{h -> (-71 - Sqrt[9073])/18}, {h -> (-71 + Sqrt[9073])/18}}

Solve[99 - 97*k + 73*k^2 == 44, k] == {{k -> (97 - (3*I)*Sqrt[739])/146}, {k -> (97 + (3*I)*Sqrt[739])/146}}

Solve[24 - 21*b + 56*b^2 == 27, b] == {{b -> (21 - Sqrt[1113])/112}, {b -> (21 + Sqrt[1113])/112}}

Solve[-20 + 69*u - 50*u^2 == 59, u] == {{u -> (69 - I*Sqrt[11039])/100}, {u -> (69 + I*Sqrt[11039])/100}}

Solve[51 - 95*m - 8*m^2 == 30, m] == {{m -> (-95 - Sqrt[9697])/16}, {m -> (-95 + Sqrt[9697])/16}}

Solve[-99 - 28*n + 3*n^2 == -48, n] == {{n -> (14 - Sqrt[349])/3}, {n -> (14 + Sqrt[349])/3}}

Solve[13 - 62*e - 68*e^2 == 26, e] == {{e -> (-31 - Sqrt[77])/68}, {e -> (-31 + Sqrt[77])/68}}

Solve[-6 - 68*a - 82*a^2 == 75, a] == {{a -> (-34 - I*Sqrt[5486])/82}, {a -> (-34 + I*Sqrt[5486])/82}}

Solve[-56 + 28*q + 47*q^2 == 48, q] == {{q -> (2*(-7 - Sqrt[1271]))/47}, {q -> (2*(-7 + Sqrt[1271]))/47}}

Solve[-99 - 19*g + 8*g^2 == -74, g] == {{g -> (19 - 3*Sqrt[129])/16}, {g -> (19 + 3*Sqrt[129])/16}}

Solve[-41 - x - 14*x^2 == -33, x] == {{x -> (-1 - I*Sqrt[447])/28}, {x -> (-1 + I*Sqrt[447])/28}}

Solve[53 - 13*h + 65*h^2 == -36, h] == {{h -> (13 - I*Sqrt[22971])/130}, {h -> (13 + I*Sqrt[22971])/130}}

Solve[-58 - 61*d + 98*d^2 == -3, d] == {{d -> -1/2}, {d -> 55/49}}

Solve[-6 + 25*s + 80*s^2 == -6, s] == {{s -> -5/16}, {s -> 0}}

Solve[90 + 87*u - 71*u^2 == 63, u] == {{u -> (3*(29 - Sqrt[1693]))/142}, {u -> (3*(29 + Sqrt[1693]))/142}}

Solve[-65 - 84*k - 11*k^2 == -90, k] == {{k -> (-42 - Sqrt[2039])/11}, {k -> (-42 + Sqrt[2039])/11}}

Solve[-50 - 53*v + 92*v^2 == 31, v] == {{v -> (53 - 13*Sqrt[193])/184}, {v -> (53 + 13*Sqrt[193])/184}}

Solve[-33 - 26*x - 25*x^2 == 52, x] == {{x -> (-13 - (2*I)*Sqrt[489])/25}, {x -> (-13 + (2*I)*Sqrt[489])/25}}

Solve[40 + 80*v - 25*v^2 == 31, v] == {{v -> (8 - Sqrt[73])/5}, {v -> (8 + Sqrt[73])/5}}

Solve[-83 + 87*x - 63*x^2 == -94, x] == {{x -> (29 - Sqrt[1149])/42}, {x -> (29 + Sqrt[1149])/42}}

Solve[-1 - 13*x + 26*x^2 == -8, x] == {{x -> (13 - I*Sqrt[559])/52}, {x -> (13 + I*Sqrt[559])/52}}

Solve[-86*z - 23*z^2 == 94, z] == {{z -> (-43 - I*Sqrt[313])/23}, {z -> (-43 + I*Sqrt[313])/23}}

Solve[82 + 73*i + 51*i^2 == -90, i] == {{i -> (-73 - I*Sqrt[29759])/102}, {i -> (-73 + I*Sqrt[29759])/102}}

Solve[-94 - 83*v + 48*v^2 == -1, v] == {{v -> (83 - 7*Sqrt[505])/96}, {v -> (83 + 7*Sqrt[505])/96}}

Solve[-26 + 3*r - 77*r^2 == 67, r] == {{r -> (3 - I*Sqrt[28635])/154}, {r -> (3 + I*Sqrt[28635])/154}}

Solve[43 + 18*f + 89*f^2 == -89, f] == {{f -> (-9 - I*Sqrt[11667])/89}, {f -> (-9 + I*Sqrt[11667])/89}}

Solve[-4 + 8*m - 37*m^2 == -21, m] == {{m -> (4 - Sqrt[645])/37}, {m -> (4 + Sqrt[645])/37}}

Solve[22 - 63*g - 73*g^2 == 15, g] == {{g -> (-63 - Sqrt[6013])/146}, {g -> (-63 + Sqrt[6013])/146}}

Solve[93 + 77*f - 42*f^2 == 75, f] == {{f -> (77 - Sqrt[8953])/84}, {f -> (77 + Sqrt[8953])/84}}

Solve[37 - 90*s + 26*s^2 == -42, s] == {{s -> (45 - I*Sqrt[29])/26}, {s -> (45 + I*Sqrt[29])/26}}

Solve[-90 + 9*n + 32*n^2 == 31, n] == {{n -> (-9 - Sqrt[15569])/64}, {n -> (-9 + Sqrt[15569])/64}}

Solve[-32 + 41*f + 63*f^2 == -91, f] == {{f -> (-41 - I*Sqrt[13187])/126}, {f -> (-41 + I*Sqrt[13187])/126}}

Solve[17 - 95*k + 65*k^2 == -15, k] == {{k -> (95 - Sqrt[705])/130}, {k -> (95 + Sqrt[705])/130}}

Solve[-26 + 72*t - 72*t^2 == -84, t] == {{t -> (3 - Sqrt[38])/6}, {t -> (3 + Sqrt[38])/6}}

Solve[-63 + 73*d^2 == 45, d] == {{d -> -6*Sqrt[3/73]}, {d -> 6*Sqrt[3/73]}}

Solve[89 - 23*g - 65*g^2 == 31, g] == {{g -> (-23 - 11*Sqrt[129])/130}, {g -> (-23 + 11*Sqrt[129])/130}}

Solve[91 - 59*y - 20*y^2 == -92, y] == {{y -> (-59 - Sqrt[18121])/40}, {y -> (-59 + Sqrt[18121])/40}}

Solve[-43 + 78*f + 27*f^2 == -95, f] == {{f -> (-13 - Sqrt[13])/9}, {f -> (-13 + Sqrt[13])/9}}

Solve[10 + 61*n - 3*n^2 == 40, n] == {{n -> (61 - Sqrt[3361])/6}, {n -> (61 + Sqrt[3361])/6}}

Solve[9 - 44*t - 81*t^2 == -25, t] == {{t -> (-22 - Sqrt[3238])/81}, {t -> (-22 + Sqrt[3238])/81}}

Solve[23 - 89*v - 13*v^2 == 25, v] == {{v -> (-89 - Sqrt[7817])/26}, {v -> (-89 + Sqrt[7817])/26}}

Solve[-44 - 42*i + 51*i^2 == -59, i] == {{i -> 7/17 - (6*I)/17}, {i -> 7/17 + (6*I)/17}}

Solve[-1 - 61*b + 72*b^2 == 90, b] == {{b -> -7/9}, {b -> 13/8}}

Solve[-85 + 54*b + 39*b^2 == -71, b] == {{b -> (-27 - 5*Sqrt[51])/39}, {b -> (-27 + 5*Sqrt[51])/39}}

Solve[1 + 22*f + 90*f^2 == 94, f] == {{f -> (-11 - Sqrt[8491])/90}, {f -> (-11 + Sqrt[8491])/90}}

Solve[53 - 40*b + 18*b^2 == 71, b] == {{b -> (10 - Sqrt[181])/9}, {b -> (10 + Sqrt[181])/9}}

Solve[92 - 8*m + 31*m^2 == -26, m] == {{m -> (4 - I*Sqrt[3642])/31}, {m -> (4 + I*Sqrt[3642])/31}}

Solve[96 + 2*n + 95*n^2 == 50, n] == {{n -> (-1 - I*Sqrt[4369])/95}, {n -> (-1 + I*Sqrt[4369])/95}}

Solve[-57 - 73*z + 80*z^2 == -39, z] == {{z -> (73 - Sqrt[11089])/160}, {z -> (73 + Sqrt[11089])/160}}

Solve[-39 - 23*z - 75*z^2 == 55, z] == {{z -> (-23 - I*Sqrt[27671])/150}, {z -> (-23 + I*Sqrt[27671])/150}}

Solve[79 - 61*m + 57*m^2 == 6, m] == {{m -> (61 - I*Sqrt[12923])/114}, {m -> (61 + I*Sqrt[12923])/114}}

Solve[-89 + 92*z - 12*z^2 == -26, z] == {{z -> (23 - 2*Sqrt[85])/6}, {z -> (23 + 2*Sqrt[85])/6}}

Solve[28 - 45*k + 91*k^2 == 81, k] == {{k -> (45 - Sqrt[21317])/182}, {k -> (45 + Sqrt[21317])/182}}

Solve[2 - 59*z + 64*z^2 == 29, z] == {{z -> (59 - Sqrt[10393])/128}, {z -> (59 + Sqrt[10393])/128}}

Solve[27 + 99*g - 40*g^2 == 72, g] == {{g -> 3/5}, {g -> 15/8}}

Solve[-3 + 73*i - 74*i^2 == -41, i] == {{i -> (73 - 11*Sqrt[137])/148}, {i -> (73 + 11*Sqrt[137])/148}}

Solve[10 - 74*r + 62*r^2 == -45, r] == {{r -> (37 - I*Sqrt[2041])/62}, {r -> (37 + I*Sqrt[2041])/62}}

Solve[-27 - 65*z - 29*z^2 == 70, z] == {{z -> (-65 - I*Sqrt[7027])/58}, {z -> (-65 + I*Sqrt[7027])/58}}

Solve[43 + 51*h + 60*h^2 == 27, h] == {{h -> (-51 - I*Sqrt[1239])/120}, {h -> (-51 + I*Sqrt[1239])/120}}

Solve[28 - 18*e + 18*e^2 == 71, e] == {{e -> (3 - Sqrt[95])/6}, {e -> (3 + Sqrt[95])/6}}

Solve[63 + 72*t + 70*t^2 == 30, t] == {{t -> (-36 - (13*I)*Sqrt[6])/70}, {t -> (-36 + (13*I)*Sqrt[6])/70}}

Solve[-46 + 29*y + 58*y^2 == 96, y] == {{y -> (-29 - Sqrt[33785])/116}, {y -> (-29 + Sqrt[33785])/116}}

Solve[-96 - 33*j + 28*j^2 == -47, j] == {{j -> (33 - Sqrt[6577])/56}, {j -> (33 + Sqrt[6577])/56}}

Solve[-6 + 63*i + 29*i^2 == 52, i] == {{i -> (-63 - Sqrt[10697])/58}, {i -> (-63 + Sqrt[10697])/58}}

Solve[-15 - 73*x + 84*x^2 == 53, x] == {{x -> (73 - Sqrt[28177])/168}, {x -> (73 + Sqrt[28177])/168}}

Solve[52 + 30*t - 87*t^2 == -61, t] == {{t -> (15 - 2*Sqrt[2514])/87}, {t -> (15 + 2*Sqrt[2514])/87}}

Solve[59 + 90*j + 15*j^2 == 80, j] == {{j -> (-15 - 2*Sqrt[65])/5}, {j -> (-15 + 2*Sqrt[65])/5}}

Solve[-3 - 98*j + 37*j^2 == 42, j] == {{j -> (49 - Sqrt[4066])/37}, {j -> (49 + Sqrt[4066])/37}}

Solve[80 - 23*b + 57*b^2 == 62, b] == {{b -> (23 - (5*I)*Sqrt[143])/114}, {b -> (23 + (5*I)*Sqrt[143])/114}}

Solve[26 + 64*g - 72*g^2 == -29, g] == {{g -> (16 - Sqrt[1246])/36}, {g -> (16 + Sqrt[1246])/36}}

Solve[23 - 5*r + 34*r^2 == 46, r] == {{r -> (5 - Sqrt[3153])/68}, {r -> (5 + Sqrt[3153])/68}}

Solve[97 + 42*i + 62*i^2 == 21, i] == {{i -> (-21 - I*Sqrt[4271])/62}, {i -> (-21 + I*Sqrt[4271])/62}}

Solve[26 + 52*a - 37*a^2 == -30, a] == {{a -> (2*(13 - Sqrt[687]))/37}, {a -> (2*(13 + Sqrt[687]))/37}}

Solve[55 - 97*m - 99*m^2 == -69, m] == {{m -> (-97 - Sqrt[58513])/198}, {m -> (-97 + Sqrt[58513])/198}}

Solve[-65 - 46*t + 44*t^2 == -19, t] == {{t -> (23 - Sqrt[2553])/44}, {t -> (23 + Sqrt[2553])/44}}

Solve[18 - 97*b + 17*b^2 == 87, b] == {{b -> (97 - Sqrt[14101])/34}, {b -> (97 + Sqrt[14101])/34}}

Solve[-95 - 94*c - 81*c^2 == 27, c] == {{c -> (-47 - I*Sqrt[7673])/81}, {c -> (-47 + I*Sqrt[7673])/81}}

Solve[24 + 65*o - 68*o^2 == -54, o] == {{o -> (65 - Sqrt[25441])/136}, {o -> (65 + Sqrt[25441])/136}}

Solve[-14 - 40*m + 58*m^2 == -28, m] == {{m -> (10 - I*Sqrt[103])/29}, {m -> (10 + I*Sqrt[103])/29}}

Solve[86 - 17*d + 18*d^2 == 58, d] == {{d -> (17 - I*Sqrt[1727])/36}, {d -> (17 + I*Sqrt[1727])/36}}

Solve[38 + 19*q + 55*q^2 == 64, q] == {{q -> (-19 - Sqrt[6081])/110}, {q -> (-19 + Sqrt[6081])/110}}

Solve[65 + 13*h + 13*h^2 == 19, h] == {{h -> (-13 - (3*I)*Sqrt[247])/26}, {h -> (-13 + (3*I)*Sqrt[247])/26}}

Solve[35 - 57*n + 16*n^2 == -81, n] == {{n -> (57 - (5*I)*Sqrt[167])/32}, {n -> (57 + (5*I)*Sqrt[167])/32}}

Solve[91 + 17*f + 20*f^2 == -88, f] == {{f -> (-17 - (3*I)*Sqrt[1559])/40}, {f -> (-17 + (3*I)*Sqrt[1559])/40}}

Solve[6 + 32*i + 27*i^2 == 99, i] == {{i -> (-16 - Sqrt[2767])/27}, {i -> (-16 + Sqrt[2767])/27}}

Solve[-40 + 17*u - 13*u^2 == 33, u] == {{u -> (17 - I*Sqrt[3507])/26}, {u -> (17 + I*Sqrt[3507])/26}}

Solve[-92 - 76*j + 45*j^2 == 66, j] == {{j -> (38 - Sqrt[8554])/45}, {j -> (38 + Sqrt[8554])/45}}

Solve[2 + 30*q - 8*q^2 == 42, q] == {{q -> (15 - I*Sqrt[95])/8}, {q -> (15 + I*Sqrt[95])/8}}

Solve[49 + 59*h + 37*h^2 == 9, h] == {{h -> (-59 - (3*I)*Sqrt[271])/74}, {h -> (-59 + (3*I)*Sqrt[271])/74}}

Solve[-11 - 94*p - 81*p^2 == -96, p] == {{p -> (-47 - Sqrt[9094])/81}, {p -> (-47 + Sqrt[9094])/81}}