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LekaFEV [45]
2 years ago
14

Help plz solve these equations by completing the square x square + 12x =1

Mathematics
1 answer:
Hitman42 [59]2 years ago
3 0

Answer:

x = - 6 ± \sqrt{37}

Step-by-step explanation:

Given

x² + 12x = 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(6)x + 36 = 1 + 36

(x + 6)² = 37 ( take the square root of both sides )

x + 6 = ± \sqrt{37} ( subtract 6 from both sides )

x = - 6 ± \sqrt{37} ← exact solutions

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