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1/a+1/b+1/x=1/a+b+xSolve for x

Answer» 1/(a+b+x)=1/a + 1/b + 1/x1/(a+b+x)=(bx+ax+ab)/abxabx=abx+a2x+a2b+b2x+abx+ab2+bx2+ax2+abxax2+bx2+a2x+abx+abx+b2x+a2b+ab2=0x2(a+b)+ax(a+b)+bx(a+b)+ab(a+b)=0(a+b)(x2+ax+bx+ab)=0since, a+b!=0so, x2+ax+bx+ab=0x(x+a)+b(x+a)=0(x+a)(x+b)=0x=-a,-b


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