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

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

Posted by Prerna Aggarwal 6 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Snehasish Dora 6 years, 2 months ago

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

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