Answer:
A. x = -3 ±√10
Explanation:
ax² + bx = c
4x² + 24x = 4
The first step is to divide each term by 4 so you have a coefficient of 1 for x².
4(x² + 6x) = 4
Now, you want to divide the b term (6) by 2.
6/2 = 3
Square this quotient.
3² = 9
Because you have a 4 outside of the parentheses, before you add 9, you want to multiply it by 4.
9 • 4 = 36
4(x² + 6x + 9) = 4 + 36
Now, simplify the parentheses. You can use the factoring X, but a shortcut is to use the quotient you found from b/2.
4(x + 3)² = 40
Now, you can divide both sides by 4.
(x + 3)² = 10
Take the square root.
x + 3 = ±√10
Subtract.
x = -3 ±√10
This is your answer.
Hope this helps!