SOLUTION: In questions 6-10, 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

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: In questions 6-10, 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      Log On


   

Question 499392: In questions 6-10, 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
This is the one that has me going in circles please help.
Suzie
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
From expr%284%2F3%29x%5E2-2x%2B3%2F4 we can see that a=4%2F3, b=-2, and c=3%2F4


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


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


So the discriminant is D=0


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