document.write( "Question 1205834: Solve the following equations for all x, unless the domain is restricted.\r
\n" ); document.write( "\n" ); document.write( "sin^2(x) + sin(x) = 2, where 0 < x <2𝛑\r
\n" ); document.write( "\n" ); document.write( "A. x = 1, -2
\n" ); document.write( "B. x = 2𝛑/3
\n" ); document.write( "C. x = 𝛑/4
\n" ); document.write( "D. no solution
\n" ); document.write( "E. x = 𝛑/2
\n" ); document.write( "F. x = 𝛑/2, 4𝛑 \n" ); document.write( "

Algebra.Com's Answer #842890 by ikleyn(52946) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "This equation is good to solve it mentally in your head, by applying reasoning.\r
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document.write( "Indeed, sin(x) by modulus is never greater than 1.\r\n" );
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document.write( "Therefore, if sin^2(x) + sin(x) = 2, it may happen ONLY if sin(x) = 1.\r\n" );
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document.write( "But then x =  is the only solution in the given interval.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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