document.write( "Question 406009: The square of a number equals thirty-four times that number. Find the number. \n" ); document.write( "

Algebra.Com's Answer #286619 by peter_toribio90(6) $\"\"$ $\"About$

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The SQUARE of a NUMBER = 34 times that NUMBER.\r
\n" ); document.write( "\n" ); document.write( "Algebra basically states that an unknown number may be represented by the letter x.\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2+=+34x\"$ \r
\n" ); document.write( "\n" ); document.write( "Now since these two terms are equal (definition of equation), transfer the 34x to the other side so that the difference equals zero.\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2+-+34x+=+0\"$
\n" ); document.write( "By factoring, we get:
\n" ); document.write( " $\"x%28x-34%29+=+0\"$
\n" ); document.write( "Applying the quadratic formula,
\n" ); document.write( " $\"x+=+0\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x-34+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "Thus leaving the solution set {0,34}
\n" ); document.write( "The possible answer is the number 34 itself. \n" ); document.write( "

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