Use completing the square to solve for X in the equation (c+7) (x-9) = 25

Question

Mathematics

Lauryn

4 December, 16:56

Use completing the square to solve for X in the equation (c+7) (x-9) = 25

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Answers (1)

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Jordan Griffin · Answer 1

x = 1 ± √89

Step-by-step explanation:

Step 1: Expand

x² - 2x - 63 = 25

Step 2: Isolate xs

x² - 2x = 88

Step 3: Complete the square

x² - 2x + 1 = 88 + 1

(x - 1) ² = 89

Step 3: Square root both sides

√ (x - 1) ² = ±√89

x - 1 = ±√89

Step 4: Isolate x

x = 1 ± √89