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| 1. |
a÷x-a. +. b÷x-b. =. 2c÷x-c |
| Answer» Ans. a/ x-a + b/x-b = 2c/x-ctaking (x-a) (x-b) LCM=> (ax-ab+bx-ab)/(x-a)(x-b) = 2c/x-cCross multiply, we get=> ax2-2abx+ bx2\xa0-acx +2abc-bcx = 2cx2-2acx -2bcx + 2abc=> ax2\xa0+ bx2\xa0-2cx2\xa0= 2abx -acx -bcx=> (a+b-2c)x2\xa0- (2ab -ac -bc)x = 0=> x [(a+b-2c)x - (2ab-ac-bc)] = 0Either x = 0\xa0Or (a+b-2c)x - (2ab-ac-bc) =0=> x =(2ab-ac-bc)/(a+b-2c)\xa0 | |