Let a and b be the roots of the quadratic 2x^2 - 8x + 7 = x^2 - 5x + 3. Compute a^3*b + a*b^3.
Simplify 2x^2 - 8x + 7 = x^2 - 5x + 3 and Solve for X
x^2 - 3x + 4 = 0
X is equal to (3 + or - isqrt7) / 2
\:\left(\frac{3}{2}+i\frac{\sqrt{7}}{2}\right)^{^{3\cdot \left(\frac{3}{2}-i\frac{\sqrt{7}}{2}\right)}}+\left(\frac{3}{2}+i\frac{\sqrt{7}}{2}\right)\left(\frac{3}{2}-i\frac{\sqrt{7}}{2}\right)^3