document.write( "Question 351755: The difference of two positive numbers is 3 and the sum of their squares is 45. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #251348 by stanbon(75887) $\"\"$ $\"About$

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The difference of two positive numbers is 3 and the sum of their squares is 45. Find the numbers.
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\n" ); document.write( "Equations:
\n" ); document.write( "x-y = 3
\n" ); document.write( "x^2+y^2 = 45
\n" ); document.write( "---
\n" ); document.write( "y = x-3
\n" ); document.write( "Substitute for \"y\" and solve for \"x\":
\n" ); document.write( "x^2 + (x-3)^2 = 45
\n" ); document.write( "2x^2-6x- 36 = 0
\n" ); document.write( "---
\n" ); document.write( "x^2-3x-18 = 0
\n" ); document.write( "(x-6)(x+3) = 0
\n" ); document.write( "x = 6 or x = -3
\n" ); document.write( "----
\n" ); document.write( "Substitute for \"x\" and solve for \"y\"
\n" ); document.write( "If x = 6, y = 3
\n" ); document.write( "If x = -3, y = -6
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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