The equation -x-1-x-1-4 x-1 hasA- Two solutionsB- More than two solutionsC- No solutionD- One solution

The correct option is C No solutionGiven √((x+1)) √((x 1))=√((4x 1)) Squaring both sides, we get 2√((x^2+1)) 2x 1 Squaring again, we get x=5/4 which does not ...

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Standard XIII

Mathematics

Roots of a Quadratic Equation

The equation ...

Question

The equation $\sqrt{(x + 1)} - \sqrt{(x + 1)} = \sqrt{(4 x + 1)}$ has

No solution

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One solution

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Two solutions

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The correct option is A No solution
Given $\sqrt{(x + 1)} - \sqrt{(x - 1)} = \sqrt{(4 x - 1)}$
Squaring both sides, we get $- 2 \sqrt{(x^{2} + 1)} - 2 x - 1$
Squaring again, we get $x = \frac{5}{4}$ which does not satisfy the given equation. Hence equation has no solution.

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The equation √(x+1)−√(x+1)=√(4x+1) has

The correct option is A No solutionGiven √(x+1)−√(x−1)=√(4x−1) Squaring both sides, we get −2√(x2+1)−2x−1 Squaring again, we get x=54 which does not satisfy the given equation. Hence equation has no solution.

The equation $\sqrt{(x + 1)} - \sqrt{(x + 1)} = \sqrt{(4 x + 1)}$ has

The correct option is A No solution
Given $\sqrt{(x + 1)} - \sqrt{(x - 1)} = \sqrt{(4 x - 1)}$
Squaring both sides, we get $- 2 \sqrt{(x^{2} + 1)} - 2 x - 1$
Squaring again, we get $x = \frac{5}{4}$ which does not satisfy the given equation. Hence equation has no solution.