Question

What are the solutions of 4(x+6)^2=52 select two answers

A) √13 - 6
B) -19
C) -√13-6
D)-2√13-6
E)2√13-6​

Answer 1

A and C

Explanation:

Step 1: Simplify both sides of the equation.

4x2+48x+144=52

Step 2: Subtract 52 from both sides.

4x2+48x+144−52=52−52

4x2+48x+92=0

For this equation: a=4, b=48, c=92

4x2+48x+92=0

Step 3: Use quadratic formula with a=4, b=48, c=92.

x=−48±√832/8

x=−6+√13 or x=−6−√13