Question

What are the solutions of x^2+6x-6=10?

Answer 1

so first set 1 side eualt to zero by minusing 10 from both sides

x^2+6x-16=0
facotr
what 2 numbers multiply to -16 and add to 6?
-2 and 8
(x-2)(x+8)=0

set each to zero
x-2=0
x=2

x+8=0
x=-8


x=-8 or 2

Answer 2

The correct answer to the following question will be "x = 2" and "x = -8"

Explanation:

Given equation is :

⇒ x²+6x-6 = 10

⇒ x²+6x-6-10 = 0

⇒ x²+6x-16 = 0

On factorizing the above equation, we get

⇒ x²-2x+8x-16 = 0

On taking "x" as a common, we get

⇒ x(x-2)+8(x-2) = 0

⇒ (x-2) (x+8) = 0

⇒ x-2 = 0

⇒ x = 2

Or,

⇒ x+8 = 0

⇒ x = -8

So, it's the right answer