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(1/x+4)-(1/x-11)=11/30 Send by steps if someone …

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(1/x+4)-(1/x-11)=11/30 Send by steps if someone is giving answer for this question

Posted by Damanjeet Kaur 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

we have to Solve the equation, {tex}\frac { 1 } { x + 4 } - \frac { 1 } { x - 7 } = \frac { 11 } { 30 } , x \neq - 4{/tex} ,{tex}7{/tex} for x.

Given equation, {tex}\frac { 1 } { x + 4 } - \frac { 1 } { x - 7 } = \frac { 11 } { 30 }{/tex}

or, {tex}\frac { x - 7 - x - 4 } { ( x + 4 ) ( x - 7 ) } = \frac { 11 } { 30 }{/tex}

or, {tex}( - 11 ) \times 30 = 11 ( x + 4 ) ( x - 7 ){/tex}

or, {tex}x ^ { 2 } - 3 x + 2 = 0{/tex}

or, {tex}x ^ { 2 } - 2 x - x + 2 = 0{/tex}

or, (x - 1)(x - 2 ) = 0

{tex}\therefore {/tex} x = 1, 2

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CBSE > Class 10 > Mathematics