What is a solution to x 6 x 2 60


Asked by maham237 @ in Mathematics viewed by 325 People


x = −6 x = −4 x = 4 x = 12

Answered by maham237 @



(x+6)(x+2)=60
expand
x^2+6x+2x+12=60
x^2+8x+12=60
minus 60 both sides
x^2+8x-48=0
factor
what multiplies to -48 and adds to 8
-4 and 12
(x-4)(x+12)=0
set each to zero

x-4=0
x=4

x+12=0
x=-12

x=4 or -12

solutions are x=-12 and 4

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