Calculate the discriminant and state the nature of the roots of each equation.

$2x^2-4x+1=0$
$x^2+6x+9=0$
$3x^2+2x+2=0$

Question

Calculate the discriminant and state the nature of the roots of each equation. $2x^2-4x+1=0$ $x^2+6x+9=0$ $3x^2+2x+2=0$

Accepted Answer

(a) $\Delta=8$, Two distinct real roots; (b) $\Delta=0$, Equal real roots; (c) $\Delta=-20$, No real roots.

Quadratic Functions, Equations and Inequalities