SOLUTION: Please help me to solve this problem x²+y²+2x-24=0 and y=2x+2

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Question 1097177: Please help me to solve this problem x²+y²+2x-24=0 and y=2x+2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Substitute the second equation into the first,
x%5E2%2B%282x%2B2%29%5E2%2B2x-24=0
x%5E2%2B4x%5E2%2B8x%2B4%2B2x-24=0
5x%5E2%2B10x-20=0
x%5E2%2B2x-4=0
You can complete the square or use the quadratic equation to solve for x,
x%5E2%2B2x%2B1-4=1
%28x%2B1%29%5E2=5
x%2B1=0+%2B-+sqrt%285%29
x=-1+%2B-+sqrt%285%29
To find y, substitute into the second equation.
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