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If the roots of the equation 1/ (x+p) + ...

If the roots of the equation `1/ (x+p) + 1/ (x+q) = 1/r` are equal in magnitude but opposite in sign, show that `p+q = 2r` & that the product of roots is equal to `(-1/2)(p^2+q^2)`.

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AI Generated Solution

To solve the problem, we start with the equation given: \[ \frac{1}{x+p} + \frac{1}{x+q} = \frac{1}{r} \] ### Step 1: Clear the fractions Multiply both sides by \((x+p)(x+q)r\) to eliminate the denominators: ...
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