SOLUTION: In this question I need to use the “discriminant” to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: In this question I need to use the “discriminant” to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!      Log On


   

Question 144826: In this question I need to use the “discriminant” to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!!
1. 4/3x2 - 2x + 3/4 = 0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

D=b%5E2-4ac Start with the discriminant formula


From %284%2F3%29x%5E2-2x%2B%283%2F4%29 we can see that a=4%2F3, b=-2, and c=3%2F4


D=%28-2%29%5E2-4%284%2F3%29%283%2F4%29 Plug in a=4%2F3, b=-2, and c=3%2F4


D=4-4%284%2F3%29%283%2F4%29 Square -2 to get 4


D=4-4 Multiply 4%284%2F3%29%283%2F4%29 to get %2816%2F3%29%283%2F4%29=4


D=0 Subtract 4 from 4 to get 0


Since the discriminant is equal to zero, this means that there is one real solution