Question

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

Answer 1

So the equation to find the discriminant is $b^2-4ac$ , with a = x^2 coefficient, b = x coefficient, and c = constant. Using that formula, our equation is $(-5)^2-4*3*4$

1. Firstly, solve the exponent and multiplications: $25-48$
2. Next, do the subtraction, and your discriminant is -23.

Now because the discriminant is less than zero, there are no real solutions.