Question

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

Answer 1

Answer:

x²+4x - 12 = 0 is the answer.

Step-by-step 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

Answer:

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

Step-by-step 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