1. The roots of \(7x^2+x-5=0\) are a and b. Compute (a-4)(b-4).
2. The real numbers x and y are such that x + y = 4, x^2 + y^2 = 22, and x^4 = y^4 - 176 sqrt(7). Compute x-y.
1 . a and b = -1/14 +- sqrt141 / 14 = 0.776739 and −0.919596
(via Quadratic Formula)
so (a-4)(b-4) = 15.857