The teacher will be very surprised to see your correct solution 😉
2 6237*x + 411*x + 250 --------------------- = 0 6237
a*x^2 + b*x + c = 0
D = b^2 - 4 * a * c =
(137/2079)^2 - 4 * (1) * (250/6237) = -674231/4322241
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
sum
________ ________ 137 I*\/ 674231 137 I*\/ 674231 - ---- - ------------ + - ---- + ------------ 4158 4158 4158 4158
=
-137 ----- 2079
product
/ ________\ / ________\ | 137 I*\/ 674231 | | 137 I*\/ 674231 | |- ---- - ------------|*|- ---- + ------------| \ 4158 4158 / \ 4158 4158 /
=
250 ---- 6237
250/6237
________ 137 I*\/ 674231 x1 = - ---- - ------------ 4158 4158
________ 137 I*\/ 674231 x2 = - ---- + ------------ 4158 4158
x2 = -137/4158 + sqrt(674231)*i/4158
x1 = -0.0329485329485329 - 0.197478524384922*i
x2 = -0.0329485329485329 + 0.197478524384922*i
x2 = -0.0329485329485329 + 0.197478524384922*i