Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?
2 answers:
Answer:
(- 12, 2 )
Step-by-step explanation:
Given
x² + 10x = 24
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = 24 + 25
(x + 5)² = 49 ( take the square root of both sides )
x + 5 = ± = ± 7 ( subtract 5 from both sides )
x = - 5 ± 7
Hence
x = - 5 - 7 = - 12 or x = - 5 + 7 = 2
Solution is ( - 12, 2 )
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