Question

Use the discriminant to find the number of real solutions of the equation 3x^2 – 5x + 4 = 0. Show your work.

Answer 1

I forgot what is discriminant of a quadratic. Do you remember?

Answer 2

Well, the textbook definition is "the discriminant is the expression under the radical sign in the quadratic formula."

Answer 3

From the quadratic formula..

\[\large \frac{-b \pm \color\red{\sqrt{b^2 - 4ac}}}{2a}\]

The red is your descriminant

Answer 4

So from your equation

\[\large 3x^2-5x + 4 = 0\]

A,B and C are the coefficients of the quadratic

3 = A
-5 = B
4 = C

so we plug those into the discriminant and what do we get?