document.write( "Question 887872: the sum of two numbers is 210. if one number is the square of the other, find the set of numbers
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Algebra.Com's Answer #536892 by DrBeeee(684)\"\" \"About 
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Let x,y be the unknown numbers.
\n" ); document.write( "We are given
\n" ); document.write( "(1) x + y = 210
\n" ); document.write( "(2) x = y^2
\n" ); document.write( "Put (2) into (1) and get
\n" ); document.write( "(3) y^2 + y = 210 or
\n" ); document.write( "(4) y^2 + y - 210 = 0
\n" ); document.write( "This factors into
\n" ); document.write( "(5) (y-14)*(y+15) = 0 giving us two values of y
\n" ); document.write( "(6) y = {14,-15)
\n" ); document.write( "Now use (2) to get the corresponding values of x as
\n" ); document.write( "(7) x = {196,225}
\n" ); document.write( "Let's check this with (1).
\n" ); document.write( "Is (196 + 14 = 210)?
\n" ); document.write( "Is (210 = 210)? Yes
\n" ); document.write( "Is (225 + (-15) = 210)?
\n" ); document.write( "Is (210 = 210)? Yes
\n" ); document.write( "Answer; There are two pairs of numbers (196,14) and (225,-15). \n" ); document.write( "
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