i think it's rather x²+4x = 32

using the (b/2)²

the standard form is ax²+bx+c

then (b/2)² = (4/2)² = (2)² = 4

Now, they can form perfect square

x²+4x+4=32+4

(x-2)² = 36

Square root both sides to eliminate the square(²)

√(x-2)² = √36

x-2 = ±6

x=±6+2

x=6+2=8 and x=-6+2=-4

Answer:

6

Step-by-step explanation:

x² + 4 = 32

x² = 32 - 4

√x² = √28

x = ±√28

x = ± √4•7

xsub1= 2√7

xsub2= -2√7