document.write( "Question 1026234: Need help with this, thanks.
\n" ); document.write( "Solve the inequality: x^2 – 56 > x \n" ); document.write( "

Algebra.Com's Answer #641456 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+x%5E2+-+56+%3E+x+\"$
\n" ); document.write( "Subtract $\"+x+\"$ from both sides
\n" ); document.write( " $\"+x%5E2+-+x+-+56+%3E+0+\"$
\n" ); document.write( " $\"+%28+x+-+8+%29%2A%28+x+%2B+7+%29+%3E+0+\"$
\n" ); document.write( "This product is greater than zero ( positive )
\n" ); document.write( "if both factors are (+), or
\n" ); document.write( "if both factors are (-)
\n" ); document.write( "----------------------
\n" ); document.write( " $\"+x+%3E+8+\"$
\n" ); document.write( " $\"+x+%3C+-7+\"$
\n" ); document.write( "------------
\n" ); document.write( "combining these:
\n" ); document.write( " $\"+8+%3C+x+%3C+-7+\"$
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "Suppose $\"+x+=+8+\"$
\n" ); document.write( " $\"+x%5E2+-+56+%3E+x+\"$
\n" ); document.write( " $\"+8%5E2+-+56+%3E+8++\"$
\n" ); document.write( " $\"+64+-+56+%3E+8+\"$
\n" ); document.write( " $\"+8+%3E+8+\"$
\n" ); document.write( "not true
\n" ); document.write( "--------------
\n" ); document.write( "Soppose $\"+x+=+-7+\"$
\n" ); document.write( " $\"+%28-7%29%5E2+-+56+%3E+-7+\"$
\n" ); document.write( " $\"+49+-+56+%3E+-7+\"$
\n" ); document.write( " $\"+-7+%3E+-7+\"$
\n" ); document.write( "not true
\n" ); document.write( "---------------
\n" ); document.write( "You could try $\"+x+=+8.1+\"$
\n" ); document.write( "and $\"+x+=+-7.1+\"$
\n" ); document.write( "These should satisfy the inequality
\n" ); document.write( "( both give TRUE results ) \n" ); document.write( "

\n" );