Question

Which equation is true for x = –6 and x = 2?

Answer 1

x²+4x - 12 = 0 is the answer.

Explanation:

We have to drive the equation that is true for x = -6 and x = 2.

If the equation has two zeros then equation is of the form as below:

(x-c)(x-d) = 0

We simplify the equation when the equation has zeros at x = -6 and x= 2.

(x-(-6))(x-2)=0

(x+6)(x-2) = 0

x²-2x+6x-12 = 0

x²+4x - 12 = 0

x²+4x - 12 = 0 is the answer of given expression.

Answer 2

`x^2+4x-12=0`

Explanation:

If a equation has two zeros x=a and x=b then equation can be written as

`(x-a)(x-b)=0`

similarly if a equation has two zeros at x = −6 and x = 2

then equation can be written as

`(x+6)(x-2)=0`

`x^2+6x-2x-12=0`

`x^2+4x-12=0`

Therefore
`x^2+4x-10` is required equation