Question
The number of real values of $x$ which satisfy the equation$$\left|\frac{x}{x-1}\right|+|x|=\frac{x^{2}}{|x-1|}$$(a) 1(b) 2(c) 5(d) infinite
Step 1
The absolute value of a number is its distance from zero, so it is always positive or zero. Therefore, we can split the equation into two cases: when $\frac{x}{x-1}$ is positive or zero, and when $\frac{x}{x-1}$ is negative. Show more…
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