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2 answers:
Answer:
k = - 12.56 or k = 0.56
Step-by-step explanation:
Given
k² + 12k = 7
To complete the square
add ( half the coefficient of the k- term )² to both sides
k² + 2(6)k + 36 = 7 + 36, that is
(k + 6)² = 43 ( take the square root of both sides )
k + 6 = ± ( subtract 6 from both sides )
k = - 6 ± , thus
k = - 6 - ≈ - 12.56 or k = - 6 +
≈ 0.56
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