Respuesta :

apologiabiology
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:

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

Step-by-step 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

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