Question

How many solutions does the equation -2x + 12 = x2 + 16 have?

A)0 real solutions
B) 1 real solution
C) 2 real solutions
D) infinitely many real solutions

Answer 1

A) 0 real solutions

Explanation:

-2x +12 = x² +16

change side ;

x²+2x+16-12 = 0

x²+2x+4 = 0

(x+2)(x+2) = 0

x = -2

substitution x= -2

; -2(-2) + 12 = (-2)² + 16

4+12 = 4+16

16 = 20

False equation = 0 real solutions

hope it helps ☺️