First step, relocate 25 come the left next so we deserve to do the Quadratic Formula (or you can variable instead.)

Next, we understand that 9-25 equals -16.

You are watching: What are the values of x in the equation x2 – 6x + 9 = 25?

Now discover that what two numbers multiply and get 16: 2×8 4×4 and also 16×1.

Now we execute some sort of factoring. The most valuable number should be an unfavorable since -6x is negative.

Let"s explain around factoring in Quadratic a little bit.

Substitue x²-6x-16 together ax²+bx+c=0

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

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

If us multiply d and c, we obtain c.

From the aspect lf 16, 2×8 seems to it is in right because -8+2 equates to -6 i m sorry matches the equation.

Then we get.

Seperate both equations.

Find the worth of both x.

The prize is x = -2, 8

(The explanation can be weird since I don"t recognize what lock are dubbed in English.)

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