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\frac 1 a %2B b %2B x = \frac 1 a %2B \frac 1 b %2B \frac 1 x , \quad a %2B b \neq 0 |
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Answer» 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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