document.write( "Question 104027: PreAP/GT Algebra II, teacher supplements the textbook with worksheets from College Algebra books. Worksheet titled SAT/ACT Test Prep #4.\r
\n" ); document.write( "\n" ); document.write( "3 parts to this problem:\r
\n" ); document.write( "\n" ); document.write( "x^ + y^ = 16
\n" ); document.write( "xy = 8
\n" ); document.write( "(x + y)^ = ? \n" ); document.write( "
Algebra.Com's Answer #75893 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
x^2 + y^2 = 16
\n" ); document.write( "y^2 = 16 - x^2
\n" ); document.write( "y = \"sqrt%2816-x%5E2%29\"
\n" ); document.write( ":
\n" ); document.write( "xy = 8
\n" ); document.write( "substitute \"sqrt%2816-x%5E2%29\"for y, find x:
\n" ); document.write( "x*\"sqrt%2816-x%5E2%29\" = 8
\n" ); document.write( "Square both sides
\n" ); document.write( "x^2(16-x^2) = 64
\n" ); document.write( ":
\n" ); document.write( "-x^4 + 16x^2 - 64 = 0; a quadratic equation
\n" ); document.write( "+x^4 - 16x^2 + 64 = 0; multiplied by -1
\n" ); document.write( "Factor:
\n" ); document.write( "(x^2 - 8)(x^2 - 8) = 0
\n" ); document.write( "x^2 = +8
\n" ); document.write( "x = \"sqrt%288%29\"
\n" ); document.write( "x = \"2sqrt%282%29\"
\n" ); document.write( ":
\n" ); document.write( "Find y:
\n" ); document.write( "\"2sqrt%282%29\"*y = 8
\n" ); document.write( "y = \"8%2F%282sqrt%282%29%29\"
\n" ); document.write( "y = \"4%2Fsqrt%282%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(x + y)^2 = ?
\n" ); document.write( "FOIL
\n" ); document.write( "(\"2sqrt%282%29\"+\"4%2Fsqrt%282%29\")*(\"2sqrt%282%29\"+\"4%2Fsqrt%282%29\") = ?
\n" ); document.write( "4(2) + \"8sqrt%282%29%2Fsqrt%282%29\" + \"8sqrt%282%29%2Fsqrt%282%29\" + \"16%2F2\" =
\n" ); document.write( " 8 + 8 + 8 + 8 = 32
\n" ); document.write( " \n" ); document.write( "
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