Find the value of discriminant for $5m^2-m=0$

Find the value of discriminant for $\sqrt{5}{x}^2-x-\sqrt{5}=0$

Two roots of quadratic equation are given; frame the equation.

$10$ and $-10$

Two roots of quadratic equation are given; frame the equation.

$1-3\sqrt{5}$ and $1+3\sqrt{5}$

Two roots of quadratic equation are given; frame the equation.

$0$ and $7$

Determine the nature of roots of the quadratic equation $3x^2-5x+7=0$.

Determine the nature of roots for the quadratic equation $\sqrt{3}{x}^2+\sqrt{2}x-2\sqrt{3}=0$.

Determine the nature of roots for the quadratic equation $m^2-2m+1=0$