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Anit [1.1K]
3 years ago
8

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

Mathematics
1 answer:
Yanka [14]3 years ago
4 0

Answer:

The value of <em>x</em> are -11 and -1.

Step-by-step explanation:

The quadratic equation is:

2 (x + 6)² - 5 = 45

Compute the value of <em>x</em> 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 <em>x</em> = -11.

If (x + 1) = 0, then <em>x</em> = -1.

Thus, the value of <em>x</em> are -11 and -1.

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\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Here's the solution ~

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