document.write( "Question 282606: x^-x-30=0 I need help on how to figure this problem \n" ); document.write( "

Algebra.Com's Answer #205195 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
Assuming you problem is to solve:
\n" ); document.write( ".
\n" ); document.write( "x^2 -x -30 = 0
\n" ); document.write( ".
\n" ); document.write( "Factoring this is the best approach.
\n" ); document.write( "We notice that we need a + and a - term to result in -30.
\n" ); document.write( "And the two factors need to 1 apart.
\n" ); document.write( "There are a number of ways we can multiply two numbers to result in 30.
\n" ); document.write( "3*10 = 30, but they are 7 apart.
\n" ); document.write( "5*6 = 30, and they are 1 apart. So that's it.
\n" ); document.write( ".
\n" ); document.write( "(x -6)(x +5) = 0
\n" ); document.write( ".
\n" ); document.write( "checking this using FOIL (first, outer, inner, last):
\n" ); document.write( ".
\n" ); document.write( "x*x + x*5 + (-6)x + (-6)*5 = x^2 -x -30.
\n" ); document.write( ".
\n" ); document.write( "So, the solutions that make the equation true are: x=6 and x= -5.
\n" ); document.write( ".
\n" ); document.write( "We also can graph it.
\n" ); document.write( " $\"graph%28500%2C500%2C-10%2C10%2C-50%2C50%2Cx%2Ax-x-30%29\"$ \n" ); document.write( "

\n" );