document.write( "Question 973700: The shape of a state park can be modeled by a circle with the equation x^2+y^2=1600. A stretch of highway near the park is modeled by the equation y=1/40(x-40)^2. At what points does a car on the highway enter or exit the park? \n" ); document.write( "

Algebra.Com's Answer #595835 by Alan3354(69443) $\"\"$ $\"About$

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The shape of a state park can be modeled by a circle with the equation x^2+y^2=1600. A stretch of highway near the park is modeled by the equation y=1/40(x-40)^2. At what points does a car on the highway enter or exit the park?
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\n" ); document.write( "Assuming you mean $\"y+=+%281%2F40%29%2A%28x-40%29%5E2\"$
\n" ); document.write( " $\"x%5E2%2By%5E2=1600\"$
\n" ); document.write( "Sub for y in the second equation:
\n" ); document.write( " $\"x%5E2+%2B+%28%281%2F40%29%2A%28x-40%29%5E2%29%5E2+=1600\"$
\n" ); document.write( "Multiply by 40^2
\n" ); document.write( " $\"1600x%5E2+%2B+%28x-40%29%5E4+=+256000\"$
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\n" ); document.write( "This gives a quartic, a 4th order equation.
\n" ); document.write( "Check for typos before trying to solve that. \n" ); document.write( "

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