SOLUTION: 4/3x^2 - 2x + 3/4 = 0 I have to 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

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 4/3x^2 - 2x + 3/4 = 0 I have to 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      Log On


   

Question 662199: 4/3x^2 - 2x + 3/4 = 0
I have to 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. What I need help with is it real or complex?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

 

Hi,

Re TY: In this case, discriminant is = 0 ⇒ one real solution,  x = 3/4

4/3x^2 - 2x + 3/4 = 0  ||standard format ax^2 + bx + c = 0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

The Discriminant test

 sqrt%28+b%5E2-4%2Aa%2Ac+%29+=+sqrt%284+-4%2A%283%2F4%29%284%2F3%29%29+=+0

+x+=+2%2F%288%2F3%29+=+6%2F8+=+3%2F4

If discriminant is = 0 ⇒ one real solution, in this case x = 3/4

If discriminant is > 0 ⇒ two real solutions

If discriminant is < 0 ⇒ two complex solutions