SOLUTION: Solve for the variable in each equation below. Show all your work. Provide a check for each answer. If a solution is undefined, state that in your answer.
x-2/x+1 = x+1/x-2
Algebra.Com
Question 352664: Solve for the variable in each equation below. Show all your work. Provide a check for each answer. If a solution is undefined, state that in your answer.
x-2/x+1 = x+1/x-2
CHECK.
It seems to me that the x-2's would cancel eachother out, and the same for x+1, am I correct? Please help me! Thanks so much!
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve for the variable in each equation below. Show all your work. Provide a check for each answer. If a solution is undefined, state that in your answer.
x-2/x+1 = x+1/x-2
--------------------------
You must not cancel terms, only factors.
----
Cross multiply to get:
(x-2)^2 = (x+1)^2
x^2-4x+4 = x^2+2x+1
6x = 3
x = 1/2
================
Cheers,
Stan H.
==================
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi,
If I am understanding your question properly
.
Cross multiply in the above to solve
(x-2)*(x-2) = (x+1)*(x+1)
.
x^2 - 4x + 4 = x^2 + 2x +1
.
simplify
3 = 6x
.
x = (1/2)
RELATED QUESTIONS
Solve for the variable in each equation below. Show all your work. Provide a check for... (answered by jim_thompson5910)
solve for the variable in each equation below. show all your work. provide a check for... (answered by rapaljer)
solve for the variable in each equation below. show all your work. provide a check for... (answered by rapaljer)
solve for the variable in each equation below. show all your work. provide a check for... (answered by rapaljer)
Solve for the variable in each equation below. Show all your work. Provide a check for... (answered by stanbon)
Solve for the variable in each equation below. Show all your work. Provide a check for... (answered by Fombitz)
solve for the variable in each equation below. show all your work. provide a check for... (answered by rfer)
solve for the variable in each equation below. show all your work. provide a check for... (answered by ankor@dixie-net.com)
Solve for the variable in each equation below. Show all your work. Provide a check for... (answered by Fombitz)
solve the variable in each equation below. show all you work. provide a check for each... (answered by RAY100)