SOLUTION: Im having some trouble with this one. I know how to put the problem in the right order but the y/2 has me confused. So I would appreciate help solving this one. Here it is: y^2+y/2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Im having some trouble with this one. I know how to put the problem in the right order but the y/2 has me confused. So I would appreciate help solving this one. Here it is: y^2+y/2      Log On


   

Question 142718: Im having some trouble with this one. I know how to put the problem in the right order but the y/2 has me confused. So I would appreciate help solving this one. Here it is: y^2+y/2=-3/2 The only thing I was sure about was putting it into the correct form: y^2+y/2+3/2
Found 2 solutions by Edwin McCravy, bebedeeb:
Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E2%2By%2F2=-3%2F2
Clear of fractions by multiplying every term by 2
2%28y%5E2%29%2B2%28y%2F2%29=2%28-3%2F2%29
2%28y%5E2%29%2Bcross%282%29%28y%2Fcross%282%29%29=cross%282%29%28-3%2Fcross%282%29%29
2y%5E2%2By=-3
Now put it in its correct form. It would have been OK
to put it in the corret form first. Add 3 to both
sides:
2y%5E2%2By%2B3=0
Use quadratic formula since it doesn't factor.
y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=2, b=1, c=3
y+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A2%2A3+%29%29%2F%282%2A2%29+
y+=+%28-1+%2B-+sqrt%28+1-24+%29%29%2F4+
y+=+%28-1+%2B-+sqrt%28+-23+%29%29%2F4+

y+=+%28-1+%2B-+i%2Asqrt%28+23+%29%29%2F4+
Edwin

Answer by bebedeeb(7) About Me  (Show Source):
You can put this solution on YOUR website!
I read it like this:
y%5E2%2B%281%2F2%29y%2B3%2F2=0
Now get rid of the fractions by multiplying the whloe equation by 2
%282%29%28y%5E2%2B%281%2F2%29%2Ay%2B3%2F2%29=0
So you get
2y%5E2%2By%2B3=0
Now solve using the quadratic equation
x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29
a=2 b=1 c=3
plug them in:
x=%28-1%2B-sqrt%281%5E2-4%2A2%2A3%29%29%2F%282%2A2%29
Multiply, I usually work out the discriminant seprately so there is no mistakes by rewriting the equation several times.
x=%28-1%2B-sqrt%2823%29%29%2F4
since you cannot reduce this is the final answer.