document.write( "Question 138687: Graph the two equations \"x%5E2%2By%5E2=26\" and \"y=-x%2B8\" and find the solutions \n" ); document.write( "
Algebra.Com's Answer #101203 by jim_thompson5910(35256)\"\" \"About 
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\"x%5E2%2By%5E2=26\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"y=0%2B-sqrt%2826-x%5E2%29\" Solve for y\r
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\n" ); document.write( "\n" ); document.write( "\"y=sqrt%2826-x%5E2%29\" or \"y=-sqrt%2826-x%5E2%29\" Break up the right side\r
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\n" ); document.write( "\n" ); document.write( "Now let's graph \"sqrt%2826-x%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%2826-x%5E2%29+%29+\" Graph of \"y=sqrt%2826-x%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "Now let's graph \"-sqrt%2826-x%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+-sqrt%2826-x%5E2%29+%29+\" Graph of \"y=-sqrt%2826-x%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "Now graph \"y=-x%2B8\"\r
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\n" ); document.write( "\n" ); document.write( "\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2B8++%29+\" Graph of \"y=-x%2B8\"\r
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\n" ); document.write( "\n" ); document.write( "Now graph the three equations together (note: the first two equations make up \"x%5E2%2By%5E2=26\" )\r
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\n" ); document.write( "\n" ); document.write( " Graph of \"y=sqrt%2826-x%5E2%29\" (red). Graph of \"y=sqrt%2826-x%5E2%29\" (green). Graph of \"y=-x%2B8\"(blue)\r
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\n" ); document.write( "\n" ); document.write( "From the graph, we can see that there are no intersections. So there are no solutions.
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