document.write( "Question 18330: Hi all,\r
\n" ); document.write( "\n" ); document.write( "I am having a meltdown with Quadratic equations, vertexes and intercepts. Could someone please help me uunderstand this problem?\r
\n" ); document.write( "\n" ); document.write( "Solve the inequality. State the solution set using interval notation and graph it:
\n" ); document.write( "a^2 + 2a is less than or equal to 15.\r
\n" ); document.write( "\n" ); document.write( "Thank you very much! \n" ); document.write( "

Algebra.Com's Answer #8865 by xcentaur(357) $\"\"$ $\"About$

You can put this solution on YOUR website!
a^2 + 2a < 15\r
\n" ); document.write( "\n" ); document.write( "a^2 + 2a -15 < 0\r
\n" ); document.write( "\n" ); document.write( "(a-3)(a+5) < 0
\n" ); document.write( "

\n" ); document.write( "Taking each case seperately,\r
\n" ); document.write( "\n" ); document.write( "(a-3)< 0
\n" ); document.write( "a< 3
\n" ); document.write( "

\n" ); document.write( "a+5< 0
\n" ); document.write( "a< -5
\n" ); document.write( "

\n" ); document.write( " $\"+number_line%28+600%2C+-10%2C+10%2C+-1%2C+-5%2C+3+%29+\"$
\n" ); document.write( "

\n" ); document.write( "a< 3
\n" ); document.write( "a< -5
\n" ); document.write( "

\n" ); document.write( "Hence we can simply write a<3
\n" ); document.write( "

\n" ); document.write( "-Prabhat \n" ); document.write( "

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