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CBSE Class 10 Answered

1/x+4 - 1/x-7=11/30
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Asked by karramrudula | 22 Mar, 2022, 11:20: AM
answered-by-expert Expert Answer
To find x if 1/x+4 - 1/x-7=11/30
fraction numerator 1 over denominator straight x plus 4 end fraction minus fraction numerator 1 over denominator straight x minus 7 end fraction equals 11 over 30
rightwards double arrow fraction numerator straight x minus 7 minus straight x minus 4 over denominator open parentheses straight x plus 4 close parentheses open parentheses straight x minus 7 close parentheses end fraction equals 11 over 30
rightwards double arrow fraction numerator negative 11 over denominator straight x squared minus 3 straight x minus 28 end fraction equals 11 over 30
rightwards double arrow negative 30 equals straight x squared minus 3 straight x minus 28
rightwards double arrow straight x squared minus 3 straight x plus 2 equals 0
rightwards double arrow straight x squared minus 2 straight x minus straight x plus 2 equals 0
rightwards double arrow open parentheses straight x minus 2 close parentheses open parentheses straight x minus 1 close parentheses equals 0
rightwards double arrow straight x equals 2 space or space straight x equals 1
Answered by Renu Varma | 29 Mar, 2022, 10:50: AM
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