document.write( "Question 376791: Hi - my tutor is out of town and am stuck on this problem. Solve this sytem of equations for real number solutions: y=x^2-4 and x^2 = y^2 = 10 So far I have done this:\r
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document.write( "x^2 + y^2 = 10
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document.write( "-X^2 = y = -4
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document.write( "y^2 + y = 6
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document.write( "y^2 + y - 6 = 0
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document.write( "(y-2) (y + 3) = 0
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document.write( "y-2 = 0 y + 3 = 0
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document.write( "Y = 2 and y = -3\r
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document.write( "am now stuck\r
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document.write( "Thanks for your assistance\r
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document.write( "Carol \n" );
document.write( "
Algebra.Com's Answer #268016 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! y=x^2-4 and \n" ); document.write( "x^2 = y^2 = 10 \n" ); document.write( "-------------- \n" ); document.write( "So far I have done this: \n" ); document.write( "x^2 + y^2 = 10 \n" ); document.write( "-X^2 = y = -4 \n" ); document.write( "y^2 + y = 6 \n" ); document.write( "y^2 + y - 6 = 0 \n" ); document.write( "(y-2) (y + 3) = 0 \n" ); document.write( "y-2 = 0 y + 3 = 0 \n" ); document.write( "Y = 2 and y = -3 \n" ); document.write( "am now stuck \n" ); document.write( "------------ \n" ); document.write( "y=x^2-4 and \n" ); document.write( "x^2 + y^2 = 10 \n" ); document.write( "Sub for y \n" ); document.write( "x^2 + (x^2-4)^2 = 10 \n" ); document.write( "x^4 -7x^2 + 6 = 0 \n" ); document.write( "(x^2 - 6)*(x^2 - 1) = 0 \n" ); document.write( "x = ± sqrt(6) ; y = 2 \n" ); document.write( "x = ± 1 ; y = -3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |