SOLUTION: Determine the nature of the solutions of the equation. y^2=2/3y+3/8

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Question 379480: Determine the nature of the solutions of the equation.
y^2=2/3y+3/8
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E2=%282%2F3%29y%2B%283%2F8%29
y%5E2-%282%2F3%29y-%283%2F8%29=0
Use the discriminant,
D=b%5E2-4ac
D=%282%2F3%29%5E2-4%281%29%28-3%2F8%29
D=%284%2F9%29%2B3%2F2
D=8%2F18%2B27%2F18
D=35%2F18
Since D%3E0, there are two real and irrational roots.
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graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C0%2Cx%5E2-%282%2F3%29x-3%2F8%29