How do you solve rational equations #2/x-2 = x/(x-1) - 2#?

Question

1082 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-30T21:19:17

No solutions

Add 2 to both sides

#2/x=x/(x-1)#

#2(x-1)=x^2#

#2x-2=x^2#

#x^2-2x+2=0#

Use the formula

# x=[-(-2)\pmsqrt((-2)^2-4xx1xx2)]/2#

#x=[2\pmsqrt(-4)]/2#

Cannot find the square root of a negative number so there are no solutions.