Mathematics
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OpenStudy (anonymous):
y=2-x, x(x+y)=5-3y^2
a solution would be helpful please, no idea how these things are solved
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OpenStudy (anonymous):
You know that y=2-x, so plug in 2-x instead of y in the second equation and solve.
OpenStudy (anonymous):
Hold on, lemme try
OpenStudy (anonymous):
What's (2-x)^2?
Is it the long answer or like, the one with 2 numbers?
OpenStudy (anonymous):
can't do it man, help me out here
OpenStudy (mertsj):
If y = 2-x, then x = 2-y. Replace each x with 2-y
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OpenStudy (anonymous):
where do I go from 2-2y=5-3y^2?
OpenStudy (mertsj):
Put it in the standard form for a quadratic equation and then solve by factoring (if it will factor) or by the quadratic formula if it will not.
OpenStudy (anonymous):
English man, English
OpenStudy (mertsj):
Rearrange the equation so that it is equal to 0. Make the y^2 term positive.
OpenStudy (mertsj):
Also, it should be 4-2y not 2-2y
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OpenStudy (anonymous):
Oh
OpenStudy (anonymous):
Actually, Mertsj is right, it's easier to replace x other than y.
OpenStudy (anonymous):
Eh?
OpenStudy (anonymous):
could one of you dudes just give me the answer +solution? It's REALLY late
OpenStudy (mertsj):
\[(2-y)(2-y+y)=5-3y^2\]
\[(2-y)(2)=5-3y^2\]
\[4-2y=5-3y^2\]
\[3y^2-2y-1=0\]
\[(3y+1)(y-1)=0\]
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OpenStudy (mertsj):
Can you solve that for y?
OpenStudy (anonymous):
waaaait
OpenStudy (anonymous):
how did 3y^2-2y-1=0 become (3y+1)(y-1)=0
?
OpenStudy (mertsj):
By factoring.
OpenStudy (anonymous):
what method?
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OpenStudy (anonymous):
You can also use discriminant if you want.
OpenStudy (mertsj):
Too many cooks.
OpenStudy (anonymous):
mmm, well
OpenStudy (anonymous):
thanks dudes, I'll try to figure this dang thing out
OpenStudy (anonymous):
Sorry Helper
Can't give more than one medal