2 Answers

Appetere · Answer 1 · 2022-03-03T17:36:43+0000

Answer:

D. 225/4

Explanation:

To complete the square (a technique that can be applied to many problems!), take half the coefficient of x and square the result.

The coefficient of x is 15. Half of 15 is 15/2. Square 15/2 to get 225/4.

Check:

$x^2+15x+(225)/(4)=\left(x+(15)/(2)\right)\left(x+(15)/(2)\right)=\left(x+(15)/(2)\right)^2$

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