Question

Solve the quadratic equation by factoring. 9x^2+24x+20=4

A. x=4/3

B. x=-3/4

C. x=4

D. x=-4/3

Answer 1

D. x =
`-(4)/(3)`

Explanation:

Step 1: Subtract 4 from both sides.

9x^2 + 24x + 20 − 4 = 4 − 4

9x^2 + 24x + 16 = 0

Step 2: Factor left side of equation.

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

Step 3: Set factors equal to 0.

3x+4=0 or 3x+4=0

x =
`-(4)/(3)`

I hope this helps your assignment! Anyways, have a fantastic day! :D

Answer 2

D. -4/3

Let's solve your equation step-by-step.

9x2+24x+20=4

Step 1: Subtract 4 from both sides.

9x2+24x+20−4=4−4

9x2+24x+16=0

Step 2: Factor left side of equation.

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

Step 3: Set factors equal to 0.

3x+4=0 or 3x+4=0

x= −4 /3

Hope This helps