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

Multiple Choice

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.
- $- 5 + \sqrt { 5 } , - 5 - \sqrt { 5 }$

A) $x ^ { 2 } + 10 x + 30 = 0$
B) $x ^ { 2 } + 25 x + 30 = 0$
C) $x ^ { 2 } - 10 x + 20 = 0$
D) $x ^ { 2 } + 10 x + 20 = 0$