Ask a Teacher

Search



WHAT IS THE ANSER OF 1/a+b+x=1/a+1/b+1/x
1/a +1/b +1/x=1/a+b+x

(bx+ax+ab)(a+b+x)=abx(taking LCM and cross multiplication)

abx+a 2 x+a 2 b+ b 2 x

+abx+ab 2 +bx 2 +ax 2 +abx=abx

 (a+b)x 2 +(a 2 +b 2 +2ab)x

+a 2 b+ab 2 =0

  This is a quadratic equation in x.

 x = -(a+b) 2 + (a 2 -b 2 )/2(a+b)

hence , x=-(a+b)+(a-b)/2

implies , x=-b


comments powered by Disqus