Respuesta :
Answer:
-8 and 4
Step-by-step 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
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