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a*v^2 + b*v + c = 0
D = b^2 - 4 * a * c =
(-15)^2 - 4 * (1) * (16) = 161
v1 = (-b + sqrt(D)) / (2*a)
v2 = (-b - sqrt(D)) / (2*a)
______________ / _____ / 15 \/ 161 x1 = - / -- - ------- \/ 2 2
______________ / _____ / 15 \/ 161 x2 = / -- - ------- \/ 2 2
______________ / _____ / 15 \/ 161 x3 = - / -- + ------- \/ 2 2
______________ / _____ / 15 \/ 161 x4 = / -- + ------- \/ 2 2
x4 = sqrt(sqrt(161)/2 + 15/2)
suma
______________ ______________ ______________ ______________ / _____ / _____ / _____ / _____ / 15 \/ 161 / 15 \/ 161 / 15 \/ 161 / 15 \/ 161 - / -- - ------- + / -- - ------- - / -- + ------- + / -- + ------- \/ 2 2 \/ 2 2 \/ 2 2 \/ 2 2
=
0
producto
______________ ______________ / ______________\ ______________ / _____ / _____ | / _____ | / _____ / 15 \/ 161 / 15 \/ 161 | / 15 \/ 161 | / 15 \/ 161 - / -- - ------- * / -- - ------- *|- / -- + ------- |* / -- + ------- \/ 2 2 \/ 2 2 \ \/ 2 2 / \/ 2 2
=
16
16
x1 = -3.72079141718865
x2 = -1.07504010612406
x3 = 1.07504010612406
x4 = 3.72079141718865
x4 = 3.72079141718865