document.write( "Question 754486: The sum of the first number and the square of a second number is 18. The difference between the square of the second number and twice the first number is 12.\r
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document.write( "A) Write a system of equations to represent this situation\r
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document.write( "B)Solve the system to determine the numbers \n" );
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Algebra.Com's Answer #459167 by lwsshak3(11628) ![]() You can put this solution on YOUR website! The sum of the first number and the square of a second number is 18. The difference between the square of the second number and twice the first number is 12. \n" ); document.write( "A) Write a system of equations to represent this situation \n" ); document.write( "B)Solve the system to determine the numbers \n" ); document.write( "*** \n" ); document.write( "let x=1st number \n" ); document.write( "let y=2nd number \n" ); document.write( ".. \n" ); document.write( "x+y^2=18 \n" ); document.write( "y^2-2x=12 \n" ); document.write( ".. \n" ); document.write( "y^2=18-x \n" ); document.write( "18-x-2x=12 \n" ); document.write( "-3x=-6 \n" ); document.write( "x=2 \n" ); document.write( ".. \n" ); document.write( "y^2=12+2x=12+4=16 \n" ); document.write( "y=±√16=±4\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |