SOLUTION: Without solving each equation, determine the nature of the roots. a. 3y^2-10y+1=0 b. 2w^2+6w+10=0

Algebra ->  Trigonometry-basics -> SOLUTION: Without solving each equation, determine the nature of the roots. a. 3y^2-10y+1=0 b. 2w^2+6w+10=0      Log On


   

Question 94471: Without solving each equation, determine the nature of the roots.
a. 3y^2-10y+1=0
b. 2w^2+6w+10=0
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Without solving each equation, determine the nature of the roots.
a. 3y^2-10y+1=0
b^2-4ac = 100-4*3*1>0 so there are two unequal Real Number roots.
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b. 2w^2+6w+10=0
b^2-4ac = 36-4*2*10<0 so there are two unequal complex number roots.
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Cheers,
Stan H.