document.write( "Question 272295: Please help me solves these urgent problems!!!\r
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document.write( "first system\r
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document.write( "1. x^2+y^2=16
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document.write( " 2x+y=4\r
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document.write( "second system\r
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document.write( "2. x^2+y^2=4
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document.write( " y=x^2-2 \n" );
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Algebra.Com's Answer #199231 by Alan3354(69443) You can put this solution on YOUR website! first system \n" ); document.write( "1. x^2+y^2=16 \n" ); document.write( "2x+y=4 --> y = -2x+4 \n" ); document.write( "Sub for y into the 1st eqn \n" ); document.write( "x^2 + (-2x+4)^2 = 16 \n" ); document.write( "x^2 + 4x^2 -16x + 16 = 16 \n" ); document.write( "5x^2 - 16x = 0 \n" ); document.write( "x = 0 \n" ); document.write( "x = 16/5 \n" ); document.write( "--------- \n" ); document.write( "Solve for y on the line, not the circle, to avoid extraneous roots \n" ); document.write( "x = 0, y = 4 --> (0,4) \n" ); document.write( "x = 16/5, y = -12/5 --> (3.2,-2.4) \n" ); document.write( "----------------------- \n" ); document.write( "second system \n" ); document.write( "2. x^2+y^2=4 \n" ); document.write( "y=x^2-2 --> x^2 = y+2 \n" ); document.write( "Sub for x^2 \n" ); document.write( "(y+2) + y^2 = 4 \n" ); document.write( "y^2 + y - 2 = 0 \n" ); document.write( "(y+2)*(y-1) = o \n" ); document.write( "y = 1, y = -2 \n" ); document.write( "--------------- \n" ); document.write( "x^2 = y+2 \n" ); document.write( "x^2 = 0 --> (0,-2) \n" ); document.write( "------------------- \n" ); document.write( "x^2 = 3 --> (sqrt(3),1) and (-sqrt(3),1) \n" ); document.write( " \n" ); document.write( " |