Find the values of a, b, and c for which the quadratic equation $a x ^ { 2 } + b x + c = 0$ 0 has the given numbers as solutions. Then
use those values to write a quadratic equation.
-8,5
A) $x ^ { 2 } + 40 x + 13 = 0$
B) $x ^ { 2 } + 13 x + 40 = 0$
C) $x ^ { 2 } + 40 x - 13 = 0$
D) $x ^ { 2 } - 13 x + 40 = 0$

Question

Quizplus · Accepted Answer

The sum of the solutions (roots) is equal to -b/a, and their product is c/a. For the solutions 8 and 5, their sum is 8 + 5 = 13, and their product is 8 * 5 = 40. Thus, -b/a = -13 (or b = 13) and c/a = 40. The correct quadratic equation is $x^2 - 13x + 40 = 0$.

Find the Values of A, B, and C for Which ax2+bx+c=0a x ^ { 2 } + b x + c = 0ax2+bx+c=0

Find the Values of A, B, and C for Which $a x ^ { 2 } + b x + c = 0$