document.write( "Question 584735: THE DIFFERENCE OF SQUARE OF TWO NUMBER IS 180 .THE SQUARE OF THE SMALLER NUMBER IS 8 TIMES THE LARGER NUMBER .FIND THE TWO NUMBERS? \n" ); document.write( "
Algebra.Com's Answer #372992 by ankor@dixie-net.com(22740)\"\" \"About 
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THE DIFFERENCE OF SQUARE OF TWO NUMBER IS 180
\n" ); document.write( "x^2 - y^2 = 180
\n" ); document.write( ":
\n" ); document.write( ".THE SQUARE OF THE SMALLER NUMBER IS 8 TIMES THE LARGER NUMBER
\n" ); document.write( "y^2 = 8x
\n" ); document.write( ":
\n" ); document.write( "FIND THE TWO NUMBERS?
\n" ); document.write( ":
\n" ); document.write( "Replace y^2 in the 1st equation with 8x
\n" ); document.write( "x^2 - 8x = 180
\n" ); document.write( "A quadratic equation
\n" ); document.write( "x^2 - 8x - 180 = 0
\n" ); document.write( "factors to
\n" ); document.write( "(x+10)(x-18) = 0
\n" ); document.write( "The positive solution
\n" ); document.write( "x = 18
\n" ); document.write( "Find y
\n" ); document.write( "y^2 = 8(18)
\n" ); document.write( "y^2 = 144
\n" ); document.write( "y = \"sqrt%28144%29\"
\n" ); document.write( "y = 12
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