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(1/x+4)-(1/x-11)=11/30Send by steps if someone is giving answer for this question |
| Answer» we have to Solve the equation,\xa0{tex}\\frac { 1 } { x + 4 } - \\frac { 1 } { x - 7 } = \\frac { 11 } { 30 } , x \\neq - 4{/tex}\xa0,{tex}7{/tex}\xa0for x.Given equation,\xa0{tex}\\frac { 1 } { x + 4 } - \\frac { 1 } { x - 7 } = \\frac { 11 } { 30 }{/tex}or,\xa0{tex}\\frac { x - 7 - x - 4 } { ( x + 4 ) ( x - 7 ) } = \\frac { 11 } { 30 }{/tex}or,\xa0{tex}( - 11 ) \\times 30 = 11 ( x + 4 ) ( x - 7 ){/tex}or,\xa0{tex}x ^ { 2 } - 3 x + 2 = 0{/tex}or,\xa0{tex}x ^ { 2 } - 2 x - x + 2 = 0{/tex}or,\xa0(x - 1)(x - 2 ) = 0{tex}\\therefore {/tex}\xa0x = 1, 2 | |