What are all the values that make x^2 + bx + 144 a perfect square?

b = ±24

Step-by-step explanation:

Normally to find the number we add to make it a perfect square

We take the coefficient of x

b

Divide by 2

b/2

Then square it

(b/2) ^2

In this case, we are adding 144

(b/2) ^2 = 144

Take the square root of each side

sqrt ((b/2) ^2) = sqrt (144)

b/2 = ±12

Multiply each side by 2

b/2*2 = ±12 * 2

b = ±24

24, - 24

Step-by-step explanation:

B² - 4AC = 0

For a perfect square

b² - 4 (1) (144) = 0

b² = 576

b = + / - 24