Question

What are the solutions to the equation? 4x=32-x^2

Answer 1

4x = 32 -x^2

Subtract 4x from both sides and rearrange the equation:

-x^2 -4x +32 = 0

Use the quadratic equation x = -b +\ - sqrt(b^2-4ac)/ 2a

From the rewritten equation: a=-1, b = -4 and c = 32

Solving for x you get x = -8 and x = 4

The solutions are -8 and 4

Answer 2

-8 and 4

Explanation:

• 4x=32-x^2
• x^2 +4x - 32=0
• x^2+4x+4 - 36=0
• (x+2)^2- 6^2=0
• (x+2+6)(x+2-6)=0
• x+8=0 ⇒ x= -8
• x-4=0 ⇒ x=4