SOLUTION: Determine whether the following equations have a solution or not? Justify your answer. 4/3x2 - 2x + 3/4 = 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Determine whether the following equations have a solution or not? Justify your answer. 4/3x2 - 2x + 3/4 = 0       Log On


   

Question 144722: Determine whether the following equations have a solution or not? Justify your answer.
4/3x2 - 2x + 3/4 = 0

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
IT HAS COMPLEX RUTES.
USING THE QUADRATIC EQUATION x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ WE GET:
4/3x^2-2x+3/4=0
x=(2+-sqrt[-2^2-4*4/3*3/4])/2*4/3
x=(2+-sqrt4-4)/8/3
x=(2+-0)/8/3
x=2*3/8
x=6/8=3/4 answer.
proof:
4/3(3/4)^2-2*3/4+3/4=0
4/3*9/16-6/4+3/4=0
36/48-6/4+3/4=0
3/4-6/4+3/4=0
0=0