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
\n" ); document.write( "\n" ); document.write( "A) Write a system of equations to represent this situation\r
\n" ); document.write( "\n" ); document.write( "B)Solve the system to determine the numbers
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Algebra.Com's Answer #459167 by lwsshak3(11628)\"\" \"About 
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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
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