What is the sum of the x-values that satisfy the equation 5 = (x^3 - 2x^2 - 8x)/(x + 2) + 5/(x + 2) - 11x/(x + 2)?
+128474 So we have
5 = [ x^3 -2x^2 - 8x ] / [ x + 2] + 5 / [x + 2] - [11x] / [x + 2]
Multiply through by x + 2
5 (x + 2) = [x^3 -2x^2 -8x ] + 5 - 11x
5x + 10 = x^3 -2x^2 - 19x + 5
x^3 - 2x^2 - 24x - 5 = 0
We have the form
ax^3 + bx^2 + cx + d = 0
By Vieta......the sum of the x values that satisfy this = (-b) / a = - (-2) / 1 = 2
