document.write( "Question 634473: The sum of the square of a positive number and the square of 4 more than the number is 58 what is the number? \n" ); document.write( "

Algebra.Com's Answer #399708 by ptaylor(2198) $\"\"$ $\"About$

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Let x= the positive number; x^2=the square of the positive number
\n" ); document.write( "x+4= four more than the number; (x+4)^2=the square of 4 more than the positive number
\n" ); document.write( "Now we are told that:
\n" ); document.write( "x^2+(x+4)^2=58 simplify
\n" ); document.write( "x^2+x^2+8x+16=58
\n" ); document.write( "2x^2+8x+16=58
\n" ); document.write( "2x^2+8x-42=0 divide each term by 2
\n" ); document.write( "x^2+4x-21=0---quadratic in standard form and it can be factored
\n" ); document.write( "(x+7)(x-3)=0
\n" ); document.write( "x=-7 and
\n" ); document.write( "x=+3---------------------------answer (problem calls for positive number)
\n" ); document.write( "CK
\n" ); document.write( "3^2+7^2=58
\n" ); document.write( "9+49=58
\n" ); document.write( "58=58\r
\n" ); document.write( "\n" ); document.write( "Hope this helps--ptaylor \n" ); document.write( "

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