document.write( "Question 246382: Find all solutions of the equation in the interval [0,2π) algebraically. Sec^2 x - sec x =2\r
\n" ); document.write( "\n" ); document.write( "what are the steps to do this problem? how do i start?
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Algebra.Com's Answer #179964 by Alan3354(69443)\"\" \"About 
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Find all solutions of the equation in the interval [0,2π) algebraically.
\n" ); document.write( "Sec^2 x - sec x =2
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\n" ); document.write( "It's a quadratic in sec(x).
\n" ); document.write( "sec^2 - sec - 2 = 0
\n" ); document.write( "(sec - 2)*(sec + 1) = 0
\n" ); document.write( "sec(x) = 2
\n" ); document.write( "sec(x) = -1
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\n" ); document.write( "sec(x) = 2
\n" ); document.write( "x = 60º, 120º = pi/3, 2pi/3
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\n" ); document.write( "sec(x) = -1
\n" ); document.write( "x = 180º = pi radians
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