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

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.