Question

what is a solution to (x 6)(x 2) = 60? x = −6 x = −4 x = 4 x = 12

Answer 1

(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

Answer 2

The solution to the equation is  x=-12 and 4, Among the options given x = 4 is the correct answer.

What is an Equation ?

An equation is a mathematical expression that contains an equals symbol.

In the question it is given that

(x+6)(x+2)=60

On solving this we get

x²+6x+2x+12=60

x²+8x+12=60

x²+8x-48=0

To determine the factors

(x-4)(x+12)=0

now

x-4=0

x=4

x+12=0

x=-12

x=4 or -12

The solution to the equation is  x=-12 and 4.

Among the options given x = 4 is the correct answer.

To know more about Equation

https://brainly.com/question/24169758

#SPJ5