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
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Algebra.Com's Answer #842884 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"sin%5E2%28x%29+%2B+sin%28x%29+=+2\", where \"0+%3C+x+%3C2pi\"\r
\n" ); document.write( "\n" ); document.write( "\"sin%5E2%28x%29+%2B+sin%28x%29+-+2=0\"\r
\n" ); document.write( "\n" ); document.write( "\"sin%5E2%28x%29+%2B+2sin%28x%29-sin%28x%29+-+2=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28sin%5E2%28x%29-sin%28x%29%29+%2B+%282sin%28x%29+-+2%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"sin%28x%29%28sin%28x%29-1%29+%2B+2%28sin%28x%29+-+1%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28sin%28x%29%2B+2%29%28sin%28x%29+-+1%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"sin%28x%29+%2B+2=0\" =>\"sin%28x%29+=-2\"=> \"x=sin%5E-1%28-2%29\"=> no real solution\r
\n" ); document.write( "\n" ); document.write( "\"sin%28x%29+-+1=0\" =>\"sin%28x%29+=+1\"=>\"x=sin%5E-1%281%29\"\r
\n" ); document.write( "\n" ); document.write( "=>general solution:\r
\n" ); document.write( "\n" ); document.write( " \"x=pi%2F2%2B2pi%2An\"\r
\n" ); document.write( "\n" ); document.write( "solution in given interval \"0%3Cx%3C2pi\":\r
\n" ); document.write( "\n" ); document.write( "\"x=pi%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "answer:\r
\n" ); document.write( "\n" ); document.write( "E. x = 𝛑/2
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