Question

Use the discriminant to find the number of real solutions of the equation 3x^2 – 5x 4 = 0

Answer 1

So,

I'm assuming you mean 3x^2 - 5x + 4 = 0.

The discriminant is as follows:
$b^2 - 4ac$

Substitute the appropriate numbers.
$-5^2 - 4(3)(4)$

Simplify.
$25 - 4(3)(4)$
25 - 12(4)
25 - 48
-23

As this is a negative number, there will be two complex roots.

Since complex roots are not real numbers, there will be zero real roots.