document.write( "Question 1045102: Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number. \n" ); document.write( "

Algebra.Com's Answer #660509 by JoelSchwartz(130) $\"\"$ $\"About$

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x=first consecutive number
\n" ); document.write( "y=second consecutive number
\n" ); document.write( "z=third consecutive number
\n" ); document.write( "y=x+1
\n" ); document.write( "z=x+2
\n" ); document.write( "xy=z^2-19
\n" ); document.write( "x(x+1)=(x+2)(x+2)-19
\n" ); document.write( "x^2+x=x^2+4x+4-19
\n" ); document.write( "15=3x
\n" ); document.write( "x=5
\n" ); document.write( "y=6
\n" ); document.write( "z=7 \n" ); document.write( "

\n" );