SOLUTION: Solve for X 1. X -2/ 3 under the X =1 2. X X+1= 8 __ - _____ X-2 X =X^2-2X 3. X^2=36

Algebra ->  Equations -> SOLUTION: Solve for X 1. X -2/ 3 under the X =1 2. X X+1= 8 __ - _____ X-2 X =X^2-2X 3. X^2=36      Log On


   

Question 194407: Solve for X
1. X -2/ 3 under the X =1
2. X X+1= 8
__ - _____
X-2 X =X^2-2X
3. X^2=36
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for X
1.
x%2F3 - 2 = 1
Add 2 to both sides:
x%2F3 = 1 + 2
x%2F3 = 3
Multiply both sides by 3
x = 3(3)
x = 9
Check solution in original equation
:
;
2.
x%2F%28%28x-2%29%29 - %28%28x%2B1%29%29%2Fx = 8%2F%28%28x%5E2+-+2x%29%29
Factor the 3rd denominator
x%2F%28%28x-2%29%29 - %28%28x%2B1%29%29%2Fx = 8%2F%28x%28x-2%29%29
Multiply by the common denominator, namely x(x-2)
x(x-2)*x%2F%28%28x-2%29%29 - x(x-2)*%28%28x%2B1%29%29%2Fx = x(x-2)*8%2F%28x%28x-2%29%29
Cancel the denominators and you have:
x(x) - (x-2)(x+1) = 8
FOIL
x^2 - (x^2 - x - 2) = 8
Remove the brackets, (change the signs)
x^2 - x^2 + x + 2 = 8
x = 8 - 2
x = 6
:
Check solution of x=6, in the original equation
:
:
3.
X%5E2+=+36
Find the square root of both sides
x = +/-sqrt%2836%29
x = +6
and
x = -6
:
:
Did these steps make sense to you?