document.write( "Question 1002895: the difference between 2 numbers is three if the square of the smaller number is equal to 4 times the larger number what is the number? \n" ); document.write( "

Algebra.Com's Answer #619766 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "the difference between 2 numbers is three
\n" ); document.write( "x - y = 3
\n" ); document.write( "x = 3 + y
\n" ); document.write( "the square of the smaller number is equal
\n" ); document.write( "to 4 times the larger number.
\n" ); document.write( "y^2 = 4x
\n" ); document.write( "Substitute x with (3 + y) from top equation
\n" ); document.write( "y^2 = 4(3 + y)
\n" ); document.write( "y^2 = 12 + 4y
\n" ); document.write( "Rearrange into ay^2 + by + c form
\n" ); document.write( "y^2 - 4y - 12 = 0
\n" ); document.write( "(y + 2)(y - 6)= 0
\n" ); document.write( "y + 2 = 0
\n" ); document.write( "y = -2 (Not used as -ve)
\n" ); document.write( "y - 6 = 0
\n" ); document.write( "y = 6
\n" ); document.write( "Substitute y = 6 into:
\n" ); document.write( "x - y = 3
\n" ); document.write( "x - 6 = 3
\n" ); document.write( "x = 3 + 6
\n" ); document.write( "x = 9.
\n" ); document.write( "Smaller number = 6
\n" ); document.write( "Larger number = 9
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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