SOLUTION: Find the values for which 2y-6 over 2y square +5y+2 is undefined

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Question 159878This question is from textbook Introductory algebra
: Find the values for which 2y-6 over 2y square +5y+2 is undefined This question is from textbook Introductory algebra

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%282y-6%29%2F%282y%5E2%2B5y%2B2%29
The function is undefined when the denominator equals zero.
2y%5E2%2B5y%2B2=0
Use the quadratic formula,
y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
y+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A2%2A2+%29%29%2F%282%2A2%29+
y+=+%28-5+%2B-+sqrt%28+25-16+%29%29%2F%284%29+
y=%28-5+%2B-+sqrt%28+9%29%29%2F%284%29+
y=%28-5+%2B-+3%29%2F%284%29+
y=-2, 1/2
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+graph%28+300%2C+300%2C+-5%2C+2%2C+-10%2C+10%2C2x%5E2%2B5x%2B2%29+