document.write( "Question 23331: a^2+2a < or equal to 15
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Algebra.Com's Answer #12105 by philberg99(10) $\"\"$ $\"About$

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To do this problem, think about the quadratic $\"a%5E2%2B2a-15\"$ . Where is this quadratic zero? Note that the quadratic factors to (a-3)(a+5), so it is zero when a = 3 and when a = -5.\r
\n" ); document.write( "\n" ); document.write( "Now when is the quadratic bigger than zero? To solve this, think about graphing the quadratic.\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-8%2C+4%2C+-10%2C+10%2C+x%5E2%2B2x-15%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "The graph tells us that it is bigger than zero when x [or in our case, a] is less than -5 or greater than 3.\r
\n" ); document.write( "\n" ); document.write( "So the solution to this is $\"x%3E=-5\"$ or $\"x%3C=3\"$ \n" ); document.write( "

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