SOLUTION: Please help me solve the equation. What is the quotient of y-5 divided by 2y^2-7y-15?

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Question 175322: Please help me solve the equation. What is the quotient of y-5 divided by 2y^2-7y-15?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%28y-5%29%2F%282y%5E2+-+7y+-+15%29
Factor the polynomial %282y%5E2+-+7y+-+15%29
y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a+=+2
b+=+-7
c+=+-15
y+=+%28-%28-7%29+%2B-+sqrt%28%28-7%29%5E2-4%2A2%2A%28-15%29+%29%29%2F%282%2A2%29+
y+=+%287+%2B-+sqrt%2849+%2B+120+%29%29%2F4+
y+=+%287+%2B-+13%29%2F4+
y+=+5
and
y+=+-%283%2F2%29
The factors are:
%28y+-+5%29%28y+%2B+3%2F2%29+=+2y%5E2+-+7y+-+15
This is the same as
%28y+-+5%29%282y+%2B+3%29+=+2y%5E2+-+7y+-+15
and so,
%28y+-+5%29%2F%282y%5E2+-+7y+-+15%29+=+%28y+-+5%29+%2F+%28y+-+5%29%282y+%2B+3%29+
%28y+-+5%29+%2F+%28y+-+5%29%282y+%2B+3%29+=+1+%2F+%282y+%2B+3%29 answer