Find the values of a, b, and c for which the quadratic equation $$a x ^ { 2 } + b x + c = 0$$ has the given numbers as solutions. Then
use those values to write a quadratic equation.
-$$- 8 + \sqrt { 13 } , - 8 - \sqrt { 13 }$$
A) $x ^ { 2 } - 16 x + 51 = 0$
B) $x ^ { 2 } + 64 x + 77 = 0$
C) $x ^ { 2 } + 16 x + 77 = 0$
D) $x ^ { 2 } + 16 x + 51 = 0$

Question

Quizplus · Accepted Answer

The solutions are $-8 + \sqrt{13}$ and $-8 - \sqrt{13}$, which are conjugates. The sum of the roots is $-16$ and the product is $51$. The quadratic equation is $x^2 + 16x + 51 = 0$.

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 $a x ^ { 2 } + b x + c = 0$