The equation (x + 1) - (x - 1) = (4x - 1) has - Vidyadip

MCQ

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

✓
No solution
B
One solution
C
Two solutions
D
More than two solutions

✓

Answer

Correct option: A.

No solution

a
(a) Given $\sqrt {(x + 1)} - \sqrt {(x - 1)} = \sqrt {(4x - 1)} $

Squaring both sides, we get $ - 2\sqrt {({x^2} - 1)} = 2x - 1$

Squaring again, we get $x = 5/4$ which does not satisfy the given equation.

Hence equation has no solution.

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