SOLUTION: please help me solve this difficult equation Y+1=Xsquared+2X Y+2X=4

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Question 379117: please help me solve this difficult equation

Y+1=Xsquared+2X
Y+2X=4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You're solving for the intersection of a line with a parabola.
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1.y%2B1=x%5E2%2B2x
2.y%2B2x=4
Subtract eq. 2 from eq. 1,
y%2B1-y-2x=x%5E2%2B2x-4
1-2x=x%5E2%2B2x-4
x%5E2%2B4x-5=0
%28x%2B5%29%28x-1%29=0
Two solutions:
x%2B5=0
x=-5
Then from eq. 2,
y-10=4
y=14
(-5,14)
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x-1=0
x=1
Then from eq. 2,
y%2B2=4
y=2
(1,2)
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