25x^2+bx+36find two values of (b) that will make the equation a perfect square trinomial.

The value of b is 60.

Step-by-step explanation:

In order to find the middle term, we have to create a perfect square using the square roots of each end term. The square root of 25x^2 is 5x. The square root of 36 is 6. So we take those and distribute. Then we will get the middle term.

(5x + 6)^2

(5x + 6)(5x + 6)

25x^2 + 30x + 30x + 36

25x^2 + 60x + 36

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

2

step-by-step explanation: