i need help with the following problem. solve for x: 1/x-1 + x/x+2 = 2
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Originally Posted by algebra2 i need help with the following problem. solve for x: 1/x-1 + x/x+2 = 2 though this is not what you typed, i assume you mean $\displaystyle \frac 1{x - 1} + \frac x{x + 2} = 2$ multiply through by $\displaystyle (x - 1)(x + 2)$ we get: $\displaystyle x + 2 + x(x - 1) = 2(x - 1)(x + 2)$ can you take it from here?
i understand that you multiplied by the common denominator, but no i cannot take it from there.
Originally Posted by algebra2 i understand that you multiplied by the common denominator, but no i cannot take it from there. do you know how to expand brackets? expand all the brackets, then bring everything to one side. you will end up with a quadratic equation to solve
Continuing From Jhevon: $\displaystyle x+2+x^2-x=2(x^2+x-2)$ $\displaystyle x+2+x^2-x-2x^2+2x-4$ $\displaystyle -x^2-2x+6=0$ And that's your quadratic equation
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