document.write( "Question 30544: (#7) Question:
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document.write( "Solve the system:
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document.write( "x^2+y^2=20
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document.write( "x^2-2y^2=8\r
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document.write( "Answers:
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document.write( "(A) (04,2) (-4,-2)
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document.write( "(B) (1, sqrt19) (-1, -sqrt19)
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document.write( " (-1 sqrt 19) (-1. -sqrt 19)
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document.write( "(C) (4,2) (4, -2)
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document.write( "(D) (4,2) (4, -2)
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document.write( " (-4,2) (-4, -2)\r
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document.write( "Please be specefic as to which letter answer is correct. \n" );
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Algebra.Com's Answer #17209 by sdmmadam@yahoo.com(530)![]() ![]() ![]() You can put this solution on YOUR website! Solve the system: \n" ); document.write( "x^2+y^2=20 ----(1) \n" ); document.write( "x^2-2y^2=8 ----(2) \n" ); document.write( "(1) - (2) \n" ); document.write( "(x^2-x^2)+[y^2- (-2y^2)] = 20-8 \n" ); document.write( "0 +(y^2+2y^2) = 12 \n" ); document.write( "3y^2 = 12 \n" ); document.write( "y^2 = 12/3= 4 \n" ); document.write( "y = +2 or -2 \n" ); document.write( "Putting y^2 = 4 in (1) \n" ); document.write( "x^2+4 = 20 \n" ); document.write( "x^2 = 20-4 \n" ); document.write( "x^2 = 16 \n" ); document.write( "x= +4 or -4 \n" ); document.write( "Answer: (4,2),(4,-2), (-4,2) and (-4,-2) \n" ); document.write( "which is your choice \n" ); document.write( "(D) (4,2) (4, -2) \n" ); document.write( " (-4,2) (-4, -2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |