TJ solved a quadratic equation. His work is shown below, with Step 3 missing.

What could TJ have written as the result from Step 3?

2 (x+6) 2 - 5 = 45

2 (x + 6) 2 = 50

Step 1

(x + 6) 2 = 25

Step 2

Step 3

=-11 or r=-1 Step 4

The value of x are - 11 and - 1.

Step-by-step explanation:

The quadratic equation is:

2 (x + 6) ² - 5 = 45

Compute the value of x as follows:

2 (x + 6) ² - 5 = 45

2 (x + 6) ² = 50

(x + 6) ² = 25

x² + 12x + 36 = 25

x² + 12x + 11 = 0

x² + 11x + x + 11 = 0

x (x + 11) + 1 (x + 11) = 0

(x + 11) (x + 1) = 0

If (x + 11) = 0, then x = - 11.

If (x + 1) = 0, then x = - 1.

Thus, the value of x are - 11 and - 1.