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Question
The number of real solutions of `x - 1/(x^2 - 4) = 2 - 1/(x^2 - 4)` is ______.
Options
0
1
2
infinite
MCQ
Fill in the Blanks
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Solution
The number of real solutions of `x - 1/(x^2 - 4) = 2 - 1/(x^2 - 4)` is 0.
Explanation:
`x - 1/(x^2 - 4) = 2 - 1/(x^2 - 4)`
For exp. defined x2 – 4 ≠ 0
⇒ x ≠ ±2
On solving we get x = 2 ...(Not possible)
∴ No root
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Introduction of Complex Number
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