SOLUTION: Please help me find all real soultions for this equation. {{2y^2=15+y}}} The teacher said there are two answers which are 3 and -5/2. I can not get to either of these answers.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Please help me find all real soultions for this equation. {{2y^2=15+y}}} The teacher said there are two answers which are 3 and -5/2. I can not get to either of these answers.       Log On


   



Question 108322: Please help me find all real soultions for this equation.
{{2y^2=15+y}}}
The teacher said there are two answers which are 3 and -5/2. I can not get to either of these answers.
Thank you

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find all real soultions for this equation.
2y^2=15+y
------
2y^2-y-15=0
Using the AC Method of factoring:
2y^2-6y+5y-15=0
2y(y-3)+5(y-3)=0
(y-3)(2y+5)=0
y-3=0 or 2y+5=0
y=3 or y=-5/2
==============
Cheers,
Stan H.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

2y%5E2=15%2By....move all terms to the left
2y%5E2+-+y+-+15+=+0
now use quadratic formula:
y%5B1%2C2%5D=%28-b+%2B-+sqrt+%28b%5E2+-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29
your a+=+2, b+=+-1, and c+=+-15
so, you will have:

y%5B1%2C2%5D=%281+%2B-+sqrt+%281+%2B120+%29%29+%2F+4
y%5B1%2C2%5D=%281+%2B-+sqrt+%28121+%29%29+%2F+4
y%5B1%2C2%5D=%281+%2B-+%2811+%29%29+%2F+4
y%5B1%5D=%281+%2B+%2811+%29%29+%2F+4
y%5B1%5D=12+%2F+4
y%5B1%5D=+3....first answer
y%5B2%5D=%281+-+%2811+%29%29+%2F+4
y%5B2%5D=+-+%2810+%29+%2F+4....divide both 10 and 4 by 2
y%5B2%5D=+-+%285+%29+%2F+2 ....second answer