Question

2x^2 + 12x + 20 = 2 Discriminant: # of Solutions:

Answer 1

Answer:

• Discriminant =0

,

• Number of Solutions = One repeated root

Explanation:

Given the quadratic equation below:

$2x^2+12x+20=2$

First, we express it in the general form of a quadratic equation: ax²+bx+c=0

$\begin{gathered} 2x^2+12x+20-2=0 \\ 2x^2+12x+18=0 \\ \implies a=2,b=12,c=18 \end{gathered}$

Next, we find the discriminant.

$\begin{gathered} \text{Discriminant,}D=b^2-4ac \\ =12^2-4(2)(18) \\ =144-144 \\ D=0 \end{gathered}$

Since the discriminant equals 0.

The quadratic equation has One Repeated Root.