(1+1/x-1)×1/x-1=7/8

Asked by bindhubudida | 25th May, 2021, 09:44: PM

Expert Answer:

The question should be: Solve (1+1/x-1)×(1 - 1/x-1) = 7/8

open parentheses 1 plus fraction numerator 1 over denominator straight x plus 1 end fraction close parentheses cross times open parentheses 1 minus fraction numerator 1 over denominator straight x minus 1 end fraction close parentheses equals 7 over 8
rightwards double arrow open parentheses fraction numerator straight x plus 2 over denominator straight x plus 1 end fraction close parentheses open parentheses fraction numerator straight x minus 2 over denominator straight x minus 1 end fraction close parentheses equals 7 over 8
rightwards double arrow fraction numerator straight x squared minus 4 over denominator straight x squared minus 1 end fraction equals 7 over 8
rightwards double arrow 8 straight x squared minus 32 straight x equals 7 straight x squared minus 7
rightwards double arrow straight x squared equals 25
rightwards double arrow straight x equals plus-or-minus 5

Answered by Renu Varma | 26th May, 2021, 09:46: AM

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