document.write( "Question 1087714: find two numbers such that one number is 5 greater than the other number. If the sum of their squares is 5 times the square of half the smaller number, what are the numbers? \n" ); document.write( "
Algebra.Com's Answer #702010 by ankor@dixie-net.com(22740)\"\" \"About 
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find two numbers; a & b
\n" ); document.write( " such that one number is 5 greater than the other number.
\n" ); document.write( "a = b + 5
\n" ); document.write( " If the sum of their squares is 5 times the square of half the smaller number,
\n" ); document.write( "a^2 + b^2 = 5(.5b)^2
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\n" ); document.write( " what are the numbers?
\n" ); document.write( "Replace a with (b+5) in the above equation
\n" ); document.write( "(b+5)^2 = 5(.5b)^2
\n" ); document.write( "b^2 + 10b + 25 + b^2 = 5*.25b^2
\n" ); document.write( "2b^2 + 10b + 25 = 1.25b^2
\n" ); document.write( "2b^2 - 1.25b^2 + 10b + 25 = 0
\n" ); document.write( ".75b^2 + 10b + 25 = 0
\n" ); document.write( "I got an integer solution
\n" ); document.write( "b = -10
\n" ); document.write( "then
\n" ); document.write( "a = -10 + 5
\n" ); document.write( "a = -5
\n" ); document.write( ":
\n" ); document.write( "The two numbers are -5 and -10
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\n" ); document.write( "See if that checks out
\n" ); document.write( "-5^2 + -10^2 = 5(.5(-10))^2
\n" ); document.write( "25 + 100 = 5(.25(100))
\n" ); document.write( "125 = 5(25) \n" ); document.write( "
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