document.write( "Question 766630: one number is equal to the square of another .Find the numbers if both are positive and their sum is 1806 \n" ); document.write( "

Algebra.Com's Answer #467093 by Shana-D77(132) $\"\"$ $\"About$

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\"one number is equal to the square of another\": y = x^2
\n" ); document.write( "\"if both are positive and their sum is 1806\": y + x = 1806
\n" ); document.write( "

\n" ); document.write( "with substitution:
\n" ); document.write( "x^2 + x = 1806
\n" ); document.write( "Set to zero:
\n" ); document.write( "x^2 + x - 1806 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(x + 43)(x - 42) = 0
\n" ); document.write( "Solve:
\n" ); document.write( "x = -43, x = 42
\n" ); document.write( "Since your teacher said the numbers are positive, x must = 42.
\n" ); document.write( "If y = x^2, then:
\n" ); document.write( "y = 1764 \n" ); document.write( "

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