Ask Question
29 August, 22:16

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

+5
Answers (1)
  1. 30 August, 00:41
    0
    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.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “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) ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers