document.write( "Question 835364: Find the distance between the points of intersection of the graphs
\n" ); document.write( "y = x^2 + 1 and y = 5. Help? \n" ); document.write( "

Algebra.Com's Answer #503456 by reviewermath(1029) $\"\"$ $\"About$

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Q:
\n" ); document.write( "Find the distance between the points of intersection of the graphs
\n" ); document.write( " $\"y+=+x%5E2+%2B+1\"$ and y = 5
\n" ); document.write( "------------------------------------------------------
\n" ); document.write( "A:
\n" ); document.write( "To get the points of intersection, we solve
\n" ); document.write( " $\"x%5E2+%2B+1+=+5\"$ then solve for x
\n" ); document.write( " $\"x%5E2+=+4\"$
\n" ); document.write( "x = ą2
\n" ); document.write( "The points of intersection are (2, 5) and (-2, 5).
\n" ); document.write( "The y-coordinates are the same so we just compute the absolute value of the difference between the x-coordinates to get the distance between the two points.
\n" ); document.write( "distance = |2 - (-2)| = $\"highlight%284%29\"$
\n" ); document.write( "Here's the graph:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-6%2C+5%2C+-5%2C+10%2C+x%5E2%2B1%2C+5%29+\"$ \n" ); document.write( "

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