65
Find the sum and product of the roots of the quadratic equation $2x^2-9x + 4 = 0$.
Show SolutionHide Solution↓
Sol. $2x^2 - 9x + 4 = 0$
$a = 2, b = -9, c = 4$
Let $\alpha, \beta$ be roots of $2x^2 – 9x + 4 = 0$
Sum = $\alpha + \beta = -\frac{b}{a} = -\frac{-9}{2} = \frac{9}{2}$
Product of roots = $\alpha\beta = \frac{c}{a} = \frac{4}{2} = 2$
$a = 2, b = -9, c = 4$
Let $\alpha, \beta$ be roots of $2x^2 – 9x + 4 = 0$
Sum = $\alpha + \beta = -\frac{b}{a} = -\frac{-9}{2} = \frac{9}{2}$
Product of roots = $\alpha\beta = \frac{c}{a} = \frac{4}{2} = 2$