Question

solve th following quadratic equation for x​

Answer 1

$\displaystyle \text{Sum of roots } = -\left(\frac{a}{a+b} + \frac{a+b}{a}\right)\\\\\text{Product of roots } = 1 = \left(- \frac{a}{a+b}\right) \left(- \frac{a+b}{a} \right)\\\\\text{Hence the roots are } -\frac{a}{a+b} \text{ and } -\frac{a+b}{a}\right$