SOLUTION: Rational Equation 2/x^2-4=1/2x-4 Ok I have found the LCD, now what 2(x-4)

Question 236909: Rational Equation
2/x^2-4=1/2x-4
Ok I have found the LCD, now what
2(x-4)
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
good try but the LCM (least common multiple) is 2(x+2)(x-2)
2/(x^2-4)=1/(2x-4)
2/((x+2)(x-2))=1/2(x-2)
When you multiply the LCM by each side you get:
4=x+2
x=2
However, when you check the answer by replacing x with 2 in the original equation you have division by zero which is not allowed. There is no answer. x is undefined.
.
Ed
RELATED QUESTIONS
Ok, I'm stumped. Divide the rational expressions. x^4-x^3+x^2+x / x^3-4x^2+x-4 (these (answered by jim_thompson5910)

Please help me solve the rational equation: {{{ 2/(x+2) - (1/x) = -4/(x^2+2x) }}} I (answered by ikleyn)

Find the LCD for the following rational expressions. -3 / x^2 - 2x + 1 2x /... (answered by Alan3354)

Find the LCD for the following rational expressions. (-3 / x^2 - 2x + 1) (2x / x^2 -... (answered by nyc_function)

Find the LCD for the following rational expressions. {{{(-3 / (x^2 - 2x + 1)) (2x... (answered by braithiar)

ok im stuck on what to do next heres the problem and what i have so far problem:... (answered by algebrapro18)

Find the LCD for the given rational expressions and convert each rational expression into (answered by nyc_function)

What is the vertex and axis of symmetry of the equation y=-2x^2+x+1? So far I have... (answered by jim_thompson5910)

I need help with this rational expression please. I am supposed to find the LCD and... (answered by jsmallt9)