document.write( "Question 487579: Please help me solve this equation. \r
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document.write( "Two integers have a sum of -4. The sum of their squares is 40. What are the two integers?\r
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document.write( "Thanks! \n" );
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Algebra.Com's Answer #333089 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! x+y=-4 \n" ); document.write( "x=-4-y…………(1)\r \n" ); document.write( "\n" ); document.write( "x^2+y^2=40……….(2) \n" ); document.write( "Put the value of x in (2) \n" ); document.write( "(-4-y)^2+y^2=40 \n" ); document.write( "[(-4)+(-y)]^2+y^2=40 \n" ); document.write( "16+2(-4)(-y)+ y^2 +y^2=40 \n" ); document.write( "16+8y+ y2 +y^2=40 \n" ); document.write( "2y^2+8y+16=40 \n" ); document.write( "2y^2+8y=40-16 \n" ); document.write( "2y^2+8y=40-16 \n" ); document.write( "2y^2+8y=24 \n" ); document.write( "2(y^2+4y)=24 \n" ); document.write( "Divide by 2 both side \n" ); document.write( "2(y^2+4y)/2=24/2 \n" ); document.write( "y^2+4y=12 \n" ); document.write( "y^2+4y-12=0 \n" ); document.write( "y^2+6y-2y-12=0 \n" ); document.write( "y(y+6)-2(y+6)=0 \n" ); document.write( "(y-2)(y+6)=0 \n" ); document.write( "y-2=0 or y+6=0 \n" ); document.write( "y=2 or y=-6\r \n" ); document.write( "\n" ); document.write( "put the value of y=2 or y=-6 in (1) \n" ); document.write( "x=-4-2 or x=-4-(-6) \n" ); document.write( "x=-6 or x=-4+6 \n" ); document.write( "x=-6 or x=2\r \n" ); document.write( "\n" ); document.write( "so two numbers are 2 and -6 \n" ); document.write( " \n" ); document.write( " |