Question

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

Answer 1

To use the discriminant, first identify a, b, and c. In your equation a= 3 b = -5 and c = 4. Now plug into the discriminant b^2 - 4ac. Substituting yields (-5)^2 - 4(3)(4). Simplifying, 25 - 48 = -23. Since the discriminant has a negative value, there is no real solution to this equation.

Answer 2

To use the discriminant, first identify a, b, and c. In your equation a= 3 b = -5 and c = 4. Now plug into the discriminant b^2 - 4ac. Substituting yields (-5)^2 - 4(3)(4). Simplifying, 25 - 48 = -23. Since the discriminant has a negative value, there is no real solution to this equation.