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solve x: 1÷(a+b+c)=1÷a+1÷b+1÷x, [a,b,x is not …

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solve x: 1÷(a+b+c)=1÷a+1÷b+1÷x, [a,b,x is not equal to0, x is not equal to-(a+b)]

    • Posted by Aman Kumar 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sonakshi Motte 6 years, 10 months ago

    1/(a+b+x) - 1/x = 1/a + 1/b => -(a+b)/x(a+b+x) = (a+b)/ab. Cancel (a+b) from both sides & cross multiply => -ab = x(x+a+b) => x^2+(a+b)x+ab = 0 => (x+a)(x+b) = 0 x = -a or -b Ans

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