Question

solve using perfect square factoring:
x^2 – 10x + 25 = 9

Answer 1

Bring the 9 over

Answer 2

answer
a)-8, -2
b)-4, 12
c)4, -12
d)2,8

Answer 3

x^2 -10x +25 = 9

We're told it forms a perfect square and the first number that jumps to my mind is 5, since 5+5 is 10 and 5x5 is 25, but we still need to get the sign right. The quadratic equation says -10x, so we need the sign to be -5.

-5+-5 = -10
-5*-5 = +25

So this perfect square is expressed as follows:

(x-5)^2 = 9

Now we want the values for x such that (x-5)^2 = 9.

(x-5) = square root of 9, wihch is 3 or -3.

x = 5-3 or 5+3

x= 2 or x = 8

Answer 4

Use formula