document.write( "Question 986148: Do the circle x^2+y^2=16 and the line 5x-y=20 have any points in common?
\n" ); document.write( "If so, what are they?\r
\n" ); document.write( "\n" ); document.write( "Thank you in advanced. \n" ); document.write( "
Algebra.Com's Answer #606909 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "Circle
\n" ); document.write( "x^2 + y^2 = 16
\n" ); document.write( "Line
\n" ); document.write( "5x - y = 20
\n" ); document.write( "-y = -5x + 20
\n" ); document.write( "y = 5x - 20
\n" ); document.write( "Substitute y = 5x - 20
\n" ); document.write( "in x^2 + y^2 = 16
\n" ); document.write( "x^2 + (5x - 20)^2 = 16
\n" ); document.write( "x^2 + 25x^2 - 200x + 400 = 16
\n" ); document.write( "Collect like terms
\n" ); document.write( "26x^2 - 200x + 384 = 0
\n" ); document.write( "Divide throughout by 2
\n" ); document.write( "13x^2 - 100x + 192 = 0
\n" ); document.write( "(13x - 48)(x - 4) = 0
\n" ); document.write( "13x - 48 = 0
\n" ); document.write( "x = 48/13
\n" ); document.write( "x - 4 = 0
\n" ); document.write( "x = 4
\n" ); document.write( "Substituting in y = 5x - 20
\n" ); document.write( "x = 48/13
\n" ); document.write( "y = 5(48/13) - 20
\n" ); document.write( "y = 240/13 - 260/13 (20)
\n" ); document.write( "y = - 20/13
\n" ); document.write( "(48/13, -20/13)
\n" ); document.write( "x = 4
\n" ); document.write( "y = 5(4) - 20
\n" ); document.write( "y = 20 - 20
\n" ); document.write( "y = 0
\n" ); document.write( "(4,0)
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "
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