## 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 = –

Question

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

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4 weeks 2021-09-19T16:22:23+00:00 2 Answers 0

a

Step-by-step explanation:

x= -2 or x= 8

Step-by-step explanation: First step, move 25 to the left side so we can do the Quadratic Formula (or you can factor instead.) Next, we know that 9-25 equals -16. Now find that what two numbers multiply and get 16: 2×8 4×4 and 16×1.

Now we do some kind of factoring. The most valuable number must be negative since -6x is negative.

Substitue x²-6x-16 as ax²+bx+c=0

From (ax+d)(bx+c), if we multiply ax and bx, we get the ax²

If we multiply ax and c, we get acx and we multiply d and bx, we get dbx. (axc+bdx) = bx

If we multiply d and c, we get c.

From the factor lf 16, 2×8 seems to be right since -8+2 equals -6 which matches the equation.

Then we get. Seperate both equations. Find the value of both x. The answer is x = -2, 8

(The explanation might be weird since I don’t know what they are called in English.)