Question

Find the coefficient of $x^2$ quadratic equation with sum and product of roots $\sqrt{2},\frac{1}{3}$ repectively.

Answer 1

Now formula of quadratic equation is

$x^2+\left(sumofroot\right)x+productofroot=0$

Plug the value in formula , We get

$x^2+(-\sqrt{2})x+\frac{1}{3}=0$

Multiply by 3 to remove denominator, We get

$3x^2+(-3\sqrt{2})x+1=0$