SOLUTION: What is the product of the roots of this equation? 2Xsquared+ 8/9 = 3 1/3 x The answer is 4/9, but I don't know how to get there. I don't really understand the question. T

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: What is the product of the roots of this equation? 2Xsquared+ 8/9 = 3 1/3 x The answer is 4/9, but I don't know how to get there. I don't really understand the question. T      Log On


   

Question 185161: What is the product of the roots of this equation?
2Xsquared+ 8/9 = 3 1/3 x
The answer is 4/9, but I don't know how to get there. I don't really understand the question.
Thanks!
Found 2 solutions by vleith, checkley77:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E2+%2B+8%2F9+=+10x%2F3
2x%5E2+-+10x%2F3+%2B+8%2F9+=+0
%282x+-+2%2F3%29%28x+-+4%2F3%29+=+0
x = 1/3 or 4/3
So the product of the solutions is 4/3 * 1/3 = 4/9

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2Xsquared+ 8/9 = 3 1/3 x
2X^2-3 1/3X+8/9=0
2X^2-10X/3+8/9=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
X=(10/3+-SQRT[-10/3^2-4*2*8/9])/2*2
X=(10/3+-SQRT[100/9-64/9])/4
X=(10/3+-SQRT[36/9])/4
X=(10/3+-SQRT4)/4
X=(10/3+-2)/4
X=(10/3+2)/4
X=([10+6]/3)/4
X=(16/3)/4
X=16/3*1/4
X=16/12
X=4/3 ANS.
X=(10/3-2)/4
X=([10-6]/3)/4
X=(4/3)/4
X=4/3*1/4
X=4/12
X=1/3 ANS.