Precalculus

(a) Find the solutions of the equation x - 9x + 20 = 0, and show that the product of the solutions is the con- stant term 20 and the sum of the solutions is 9, the neg- ative of the coefficient of x. (b) Show that the same relationship between solutions and coefficients holds for the following equations: x' - 2r - 8 = 0 x- + 4x + 2 = 0 (c) Use the Quadratic Formula to prove that in general, if the equation x' + bx + c = 0 has solutions r and /2, then c = nir, and b = -(r, + 12)