document.write( "Question 169638: The larger of two numbers is one less than twice the smaller number. The difference of thier squares is 33 . Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #125015 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
Larger number= $\"2x-1\"$
\n" ); document.write( "Smaller number= $\"x\"$
\n" ); document.write( "Condition: The difference of the squares is 33:
\n" ); document.write( " $\"%282x-1%29%5E2-x%5E2=33\"$ -----------> EQN 1
\n" ); document.write( " $\"4x%5E2-4x%2B1-x%5E2=33\"$
\n" ); document.write( " $\"3x%5E2-4x%2B1-33=0\"$
\n" ); document.write( " $\"3x%5E2-4x-32=0\"$ , solve via Quadratic Eqn: $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( "where--------> $\"system%28a=3%2Cb=-4%2Cc=-32%29\"$
\n" ); document.write( "Continue and you get 2 values ---> $\"system%28highlight%28x=4%29%2Chighlight%28x=-8%2F3%29%29\"$
\n" ); document.write( "Therefore, $\"x=4=smaller\"$ & $\"2%2A4-1=8-1=7=Larger\"$ , Answer
\n" ); document.write( ".
\n" ); document.write( "Check via EQn 1:
\n" ); document.write( " $\"7%5E2-4%5E2=33\"$
\n" ); document.write( " $\"49-16=33\"$
\n" ); document.write( " $\"33=33\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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