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555-605 (Medium)|   Algebra|      
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Bunuel
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Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
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If 1/(x(x - 1)) + 1/(x(x+1)) = 1/((x+1)(x-1)), what is the value of x? 05 Apr 2023, 06:45
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E
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Difficulty:

35% (medium)

Question Stats:

72% (01:53) correct 28% (01:46) wrong based on 349 sessions

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If \(\frac{1}{x(x-1)}+\frac{1}{x(x+1)}=\frac{1}{(x+1)(x-1)}\), what is the value of \(x\)?

A. 2
B. 3
C. 0
D. 4
E. No solution
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E
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Maria240895chile
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If 1/(x(x - 1)) + 1/(x(x+1)) = 1/((x+1)(x-1)), what is the value of x? 06 Apr 2023, 08:32
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The final result is that 2=1 which is not possible.
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SaquibHGMATWhiz
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GMAT 1: 760 Q51 V40
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If 1/(x(x - 1)) + 1/(x(x+1)) = 1/((x+1)(x-1)), what is the value of x? 13 Apr 2023, 00:47
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Bunuel
If \(\frac{1}{x(x-1)}+\frac{1}{x(x+1)}=\frac{1}{(x+1)(x-1)}\), what is the value of \(x\)?

A. 2
B. 3
C. 0
D. 4
E. No solution
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Solution:

  • \(\frac{1}{x(x-1)}+\frac{1}{x(x+1)}=\frac{1}{(x+1)(x-1)}\)

    \(⇒\frac{(x+1)+(x-1)}{x(x-1)(x+1)}=\frac{1}{(x+1)(x-1)}\)

    \(⇒\frac{2x}{x}=1\)

    \(⇒2=1\) (no solution)

Hence the right answer is Option E
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If 1/(x(x - 1)) + 1/(x(x+1)) = 1/((x+1)(x-1)), what is the value of x? 08 Mar 2026, 15:46
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