Question

Find the sum and product of the roots of $2x^2$ – 3x + 5 = 0

Answer 1

Given quadratic equation is $2x^2$ – 3x + 5 = 0

On comparing with $a{x}^2$ + bx + c = 0, we get a = 2, b = -3 and c = 5

Let $\alpha$ and $\beta$ be the roots of the equation

Sum of roots = $\alpha +\beta$ = -b/a = -(-3)/2 = 3/2

Product of roots = $\alpha \beta$ = c/a = 5/2