SOLUTION: Please help me solve this equation: (y+3)(y-4)=-2

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Question 135764: Please help me solve this equation:
(y+3)(y-4)=-2
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(y+3)(y-4)=-2
y^2-y-12 = -2
y^2-y-10=0
y = [1 +- sqrt(1-4*-10)]/2
y = [1 +- sqrt(41)]/2
y = [1+sqrt(41)]/2 or y = [1-sqrt(41)]/2
=========================================
Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%28y%2B3%29%28y-4%29+=+-2
y%5E2+%2B+3y+-+4y+-+12+=+-2
y%5E2+-+y+-+12+=+-2
y%5E2+-+y+-+10+=+0
You can solve using complete the square method
y%5E2+-+y+=+10
y%5E2+-+y+%2B+%281%2F2%29%5E2+=+10+%2B+%281%2F2%29%5E2
%28y+-+%281%2F2%29%29%5E2+=+40%2F4+%2B+1%2F4
%28y+-+%281%2F2%29%29%5E2+=+41%2F4
take square root of both sides
y+-+%281%2F2%29+=+%280+%2B-sqrt%2841%29%29+%2F+2}
y+=+%281+%2B+sqrt%2841%29%29%2F2
y+=+%281+-+sqrt%2841%29%29%2F2
check answers
%28y%2B3%29%28y-4%29+=+-2
%28%281+%2B+sqrt%2841%29%29%2F2+%2B+3%29%28%281+%2B+sqrt%2841%29%29%2F2+-+4%29+=+-2
Multiply both sides by 4
%281+%2B+sqrt%2841%29+%2B+6%29%281+%2B+sqrt%2841%29+-+8%29+=+-8
%287+%2B+sqrt%2841%29%29%28-7+%2B+sqrt%2841%29%29+=+-8
-49+%2B+41+=+-8
-8+=+-8
OK