[JEE Advanced 1980] Find all real $x$ for which $y=\sqrt{\dfrac{(x+1)(x-3)}{x-2}}$ is real.
Find all real $x$ for which $y=\sqrt{\dfrac{(x+1)(x-3)}{x-2}}$ is real.
1 Answer
VAVidaara Admin
✓ Vidaara Team
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· 1mo ago
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Answer: $x\in[-1,2)\cup[3,\infty)$.
Need $\frac{(x+1)(x-3)}{x-2}\ge0$; sign analysis about $-1,2,3$ gives $[-1,2)\cup[3,\infty)$.
JEE Advanced 1980 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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