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GIVING 20 POINT BRAINLIST IF YOU ANWSER THE FULL QUESTION!
Explain why the equation below has two solutions. Then solve the equation to find the solutions. Must show
all work and have a written explanation to receive full credit.
(x + 3)^2 + 8 = 72

Respuesta :

Answer: x=-11  x=5

Step-by-step explanation:

(x+3)^2=72-8

(x+3) (x+3) = 64

x(x+3) +3(x+3) = 64

x^2 +3x+3x+9=64

x^2+6x+9=64

0=x^2+6x+9-64

0=x^2+6x-55

ok you look for two numbers that will multiply to -55 and also when added or subtracted it will give +6 and those 2 numbers where:

11*-5= -55    11 -5 =6

0=(x+11) (x-5)

x+11=0        x-5=0

x= -11           x= 5

YOU CAN GRAPH IT ON DESMOS TO FIND YOUR X-INTERCEPTS