Question

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

Answer 1

• Discriminant =0

,

• Number of Solutions = One repeated root

Step-by-step 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.