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In Mathematics / High School | 2014-05-22

Which value of \(c\) makes \(y^2 + 8y + c\) a perfect square?

A. 4
B. 16
C. 64
D. 8

Asked by Burchaanator

Answer (2)

y 2 + 8 y + c c = ( 2 b ​ ) 2 = ( 2 8 ​ ) 2 = 4 2 = 16 y 2 + 8 y + 16 = ( y + 4 ) 2 A n s w er : B . 16

Answered by Lilith | 2024-06-10

The value of c that makes the quadratic expression y 2 + 8 y + c a perfect square is 16. This is determined by completing the square, using the coefficient of y . Therefore, the correct choice is B. 16.
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Answered by Lilith | 2024-12-26

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