Find the sum and product of the roots of the quadratic equation

Q) Find the sum and product of the roots of the quadratic equation 2x² – 9x + 4 = 0.

Ans:

We know that sum of roots (α + β) = $\frac{-b}{a}$

$\therefore$ Sum of roots = $\frac{-(-9)}{2}$ = $\frac{9}{2}$

Next, we know that the product of the roots (α x β) = $\frac{c}{a}$

$\therefore$ Product of the roots = $\frac{4}{2}$ = 2

Therefore, the sum of roots is $\frac{9}{2}$ and product of the roots is 2.

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