Check whether a.) x=2 or b.) x=4 is a solution of the equation 1x−1x−4=1
a.) x=2
1(2)−1(2)−4=1Substitute x=212−1−2=1Simplify1+12=1Get the LCD22=1Simplifty1=1
So x=2 is the solution to the equation.
b.) x=4
1(4)−1(4)−4=1Substitute x=414−14−4=1Simplify14−10=1Equation is undefined, denomitor is zero
So x=4 is not the solution to the equation.
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