Question

Use the discriminant to determine the nature of the roots of 2x2 + 4x + 3 = 0.

Answer 1

@wickey1994 do you know how to find the discriminant
\[2x^2+4x+3=0\]
?

Answer 2

No this is what im confused on, here are the answer choices,
no real roots one real root
two distinct real roots three distinct real roots

Answer 3

Okay, for a standard quadratic equation
\[ax^2+bx+c\]
The discriminant is given by
\[D=b^2-4ac\]
We can state the nature of roots using D
\[\ D>0 \longrightarrow\ \text{Two distinct real roots}\]
\[\ D=0 \longrightarrow\ \text{Two equal real roots}\]
\[\ D<0 \longrightarrow\ \text{No real roots}\]
@wickey1994 Can you find Discriminant now?

Answer 4

yes thank you

Answer 5

@wickey1994 what's the correct answer here?

Answer 6

it would be No real roots

Answer 7

Great work:D
You're right
\[\huge \text{ Welcome to Open Study}\]

Answer 8

Awesome! thanks! C: