Question

Evaluate the discriminant, tell how many solutions the equation has and whether those solutions are real or imaginary. Please show your work.

y = -5x^2 + 6x - 4

Answer 1

Discriminat = 44 and the equation has two imaginary solutions.

Explanation:

For a quadratic equation in the form of y = ax^2 + bx + c, its discriminant is equal to b^2 - 4ac.

If discriminant < 0, then the equation has two imaginary solutions. If it is 0, then the equation has 1 real solution and if it is > 0, 2 real solutions.

In this case, y = -5x^2 + 6x -4.

So its discriminant = 6^2 - 4*(-5)*(-4)

= 36 - 80

= 44 so it has two imaginary solutions.

Answer 2

discriminant = -44, eqn has two imaginary solns

Explanation:

for eqn ax^2 + bx + c, discriminant = b^2 - 4ac

y = -5x^2 + 6x - 4

discriminant = (6)^2 - 4(-5)(-4)

= 36 - 80

= -44

as discriminant < 0, eqn has two imaginary solns