2010 · Q96
The sum of the roots of the equation 1/(x+a) + 1/(x+b) = 1/c is zero. What is the product of the roots of the equation ?
Elementary MathematicsAlgebra
- A-(a+b)/2
- B(a+b)/2
- C-(a²+b²)/2
- D(a²+b²)/2
Explanation
Sum zero gives c=(a+b)/2; product=-(a²+b²)/2.