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a*v^2 + b*v + c = 0
D = b^2 - 4 * a * c =
(-9)^2 - 4 * (1) * (-20) = 161
v1 = (-b + sqrt(D)) / (2*a)
v2 = (-b - sqrt(D)) / (2*a)
suma
_____________ _____________ _______________ _______________ / _____ / _____ / _____ / _____ / 9 \/ 161 / 9 \/ 161 / 9 \/ 161 / 9 \/ 161 - / - + ------- + / - + ------- - I* / - - + ------- + I* / - - + ------- \/ 2 2 \/ 2 2 \/ 2 2 \/ 2 2
=
0
producto
_____________ _____________ / _______________\ _______________ / _____ / _____ | / _____ | / _____ / 9 \/ 161 / 9 \/ 161 | / 9 \/ 161 | / 9 \/ 161 - / - + ------- * / - + ------- *|-I* / - - + ------- |*I* / - - + ------- \/ 2 2 \/ 2 2 \ \/ 2 2 / \/ 2 2
=
-20
-20
_____________ / _____ / 9 \/ 161 x1 = - / - + ------- \/ 2 2
_____________ / _____ / 9 \/ 161 x2 = / - + ------- \/ 2 2
_______________ / _____ / 9 \/ 161 x3 = -I* / - - + ------- \/ 2 2
_______________ / _____ / 9 \/ 161 x4 = I* / - - + ------- \/ 2 2
x4 = i*sqrt(-9/2 + sqrt(161)/2)
x1 = 3.293066772816
x2 = 1.35804593818647*i
x3 = -1.35804593818647*i
x4 = -3.293066772816
x4 = -3.293066772816