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| 1. |
1/a+b+x=1/a+1/b+1/x .........find x |
| Answer» 1/a+b+x\xa0=1/a+1/b+1/x1/a+b+x-1/x = 1/a+1/bx-(a+b+x)/(a+b+x)x = a+b/abx-a-b-x/(a+b+x)x= a+b/ab-(a+b)/(a+b+x)x = a+b/ab\xa0(when we cross multiply).\xa0-ab(a+b) = a+b(a+b+x)x-ab(a+b)/a+b = ax+bx+x2\xa0-ab = ax+bx+x2ax+bx+x2+ab (on transposing left to right).\xa0ax+x2+bx+abx(a+x) +b(x+a)(x+a)(x+b)therefor x=-a x =-b----------------------------- | |