SOLUTION: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; ju

Algebra ->  Real-numbers -> SOLUTION: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; ju      Log On


   

Question 48771: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
4/3x^2 - 2x + 3/4 = 0
and
2x^2 + 5x + 5 = 0
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
(4/3)x^2 - 2x + 3/4 = 0
b%5E2+-+4%2Aa%2Ac
4+-+4%284%2F3%29%283%2F4%29
4+-+4
0 One real root.
2x^2 + 5x + 5 = 0
b%5E2+-+4%2Aa%2Ac
25+-+40
-15 Two complex roots.