How do you use the discriminant to determine the nature of the solutions given  2x^2+4x+2?

Apr 6, 2018

Below

Explanation:

Discriminant is given by $\sqrt{{b}^{2} - 4 a c}$

The equation $2 {x}^{2} + 4 x + 2$ is in the general form $a {x}^{2} + b x + c$

So the discriminant is

$\sqrt{{4}^{2} - 4 \times 2 \times 2}$

= $\sqrt{0}$

=$0$

From your discriminant, you can tell it has one real double root ie at that point, it bounces off in the shape of a parabola