Complete the square to solve 4x2 + 24x = 4. O A. x= -3 + 10
O B. x = 4 + 40
C. X= 3 + 10
O D. X= -4 + 20
HELP ME PLEASE

A. x = -3 ±√10

Step-by-step 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!

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