SOLUTION: Determine the nature of the solutions of the equation. y^2=2/3 y+4/3

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Question 328390: Determine the nature of the solutions of the equation. y^2=2/3 y+4/3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E2=%282%2F3%29y%2B4%2F3
y%5E2-%282%2F3%29y-4%2F3=0
Multiply both sides by 3.
3y%5E2-2y-4=0
Use the discriminant,
D=b%5E2-4ac
D=%28-2%29%5E2-4%283%29%28-4%29
D=4%2B48
D=52
Since the discriminant is positive, the solutions are two distinct real roots.
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graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E2-%282%2F3%29x-4%2F3%29