What are the values of x in the equation x2 – 6x + 9 = 25? x = –2 or x = 8 x = –1 or x = –11 x = 1 or x = 11 x = 2 or x = –8

The answer is A, x= -2 or x= 8

Step-by-step explanation:

x = –2 or x = 8

Step-by-step explanation:

x²-6x+9 = 25

Subtracting 25 from both the sides,

x²-6x+9-25 = 25 -25

Cancelling out 25 and -25 from the right side

x²-6x+9-25 = 0

1x²-6x-16 = 0

Multiplying the quotient of the first term with the last term,

1*(-16) = -16

We need to find out two such factors of -16 which when added gives us the middle term coefficient -6.

-8 and 2 are such factors of -16, which when added gives us the middle term coefficient -6.

So, we rewrite the middle term -6x as -8x+2x

x²-8x+2x-16 = 0

Factor out x from the first two terms

x(x-8) + 2x-16 = 0

Factor out 2 from the last two terms

x(x-8) + 2(x-8) = 0

Factor out (x-8) from both the terms

(x-8)(x+2) = 0

Either x-8 = 0 or x+2=0

Solving x-8=0, we get x = 8

Solving x+2=0, we get x= -2