document.write( "Question 1114645: Use inverse functions where needed to find all solutions of the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.)
\n" ); document.write( "tan^2x+tanx−30=0 \n" ); document.write( "

Algebra.Com's Answer #729550 by ikleyn(52800) $\"\"$ $\"About$

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document.write( "It is a quadratic equation relative tan(x).\r\n" );
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document.write( "To solve it,  factor the left side\r\n" );
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document.write( "(tan(x)-5)*(tan(x)+6) = 0.\r\n" );
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document.write( "The solutions in the given interval are \r\n" );
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document.write( "    x = atan(5),        x = atan(5) + pi,\r\n" );
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document.write( "    x = -atan(6) + pi,  x = -atan(6) + 2*pi.\r\n" );
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document.write( "(four solutions, in all).\r\n" );
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