Find the value of c that completes the square.
a2 + 12a + c

c = 36

Step-by-step explanation:

Given

a² + 12a + c

To complete the square

add ( half the coefficient of the a- term )² to a² + 12a

a² + 2(6)a + 6²

= (a + 6)² + 36

Hence the value of c = 36

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

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