Question

18. Use the discriminant to find the number of real solutions of the equation 3x2 – 5x + 4 = 0. Show your work.

Answer 1

The value of the discriminant tells you the number and nature of the roots.
If the discriminant is positive, there are two real roots.
If the discriminant is zero, there is one real root.
If the discriminant is negative, there are two imaginary roots.

Answer 2

The discriminant is b^2 - 4ac, where a, b, and c come from the quadratic equation in the form ax^2 + bx + c.

Answer 3

First, match your given equation,

3x^2 - 5x + 4 = 0 to
ax^2 + bx + c = 0.

What are your values of a, b, and c?
Then substitute your values of a, b, and c in the discriminant expression above and evaluate it.

Answer 4

okay