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The first three steps of completing the square to solve the quadratic equation x2+8x+5=0

1 Answer

5 votes
Answer: x = 2 or x = -10

Step-by-step explanation:

x² + 8x + 5 = 0

x² + 8x + 4² - 4² + 5 = 0 <<<===== First Step: Add + 4² - 4²

(x + 4)² - 36 = 0 <<<===== Second Step: Form Perfect Square

(x + 4)² = 36 <<<===== Third Step: Both the constants to the right

x + 4 = ±√36

x + 4 = ±6

x = 6 - 4 or x = -6 - 4

x = 2 or x = -10


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