Question

Which of the following are solutions to the equation below?

Check all that apply.
x^2 + 4x-9 = 5x + 3

Answer 1

Answer:

x=−3 & x=4

Explanation:

Step 1: Subtract 5x+3 from both sides.

x2+4x−9−(5x+3)=5x+3−(5x+3)

x2−x−12=0

Step 2: Factor left side of equation.

(x+3)(x−4)=0

Step 3: Set factors equal to 0.

x+3=0 or x−4=0

x=−3 or x=4

Answer 2

x=4 x=-3

Explanation:

x^2 + 4x-9 = 5x + 3

Subtract 5x from each side

x^2 + 4x-5x-9 = 5x -5x+ 3

x^2 +-x-9 = 3

Subtract 3 from each side

x^2 -x-9-3 = 3-3

x^2 -x -12 =0

Factor

What 2 numbers multiply to -12 and add to -4

-4*3 = -12

-4+3 =-1

(x-4)(x+3) =0

Using the zero product property

x-4 =0 x+3 =0

x=4 x=-3