Algebra Homework Help!

x squared -24x = -44

x squared -2x = 5

use (b/2) squared format

This is called " completing the square"

1) X^2 -24x = -44

b/2= -24/2= -12

(-12)^2 = 144; add 144 to both sides, then factor:

X^2 -24x + 144= -44+ 144

(x-12)^2 = 100

Find the square root of both sides:

(x-12)= +/- 10

X= 12+/-10

X= 22 or 2

2) X^2 -2x= 5

(-2/2)^2 = 1; add 1 to both sides

X^2 -2x + 1= 6

(x-1)^2 = 6

X-1= +/- sqrt(6)

X= 1+/- sqrt(6)

I hope this helps!

x^2 - 24x = - 44
x^2 - 24x + 44 = 0 factor this equation
(x-2)(x-22) = 0
so the 2 solutions are: x = 2, and x = 22

x^2 - 2x = 5
x^2 -2x - 5 = 0 use the quadratic equation
x =( -(-2) +/- sqrt(4 - 4(1)(-5))/2
x = (2 +/- sqrt(24))/2
x = (2 +/- 2sqrt(6))/2
x = 1 +/- sqrt(6)