document.write( "Question 775868: Please help me solve this equation for u: cos2u-7cosu+7=0 with [0,2pi) as a restriction. \n" ); document.write( "
Algebra.Com's Answer #473221 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
solve this equation for u: cos2u-7cosu+7=0 with [0,2pi) as a restriction.
\n" ); document.write( "***
\n" ); document.write( "\"cos%282u%29-7cosu-7=0\"
\n" ); document.write( "\"cos%5E2%28u%29-sin%5E2%28u%29-7cosu-7=0\"
\n" ); document.write( "\"cos%5E2%28u%29-1%2Bcos%5E2%28u%29-7cosu-7=0\"
\n" ); document.write( "\"2cos%5E2%28u%29-7cosu-8=0\"
\n" ); document.write( "solve for cos(u) by quadratic formula:
\n" ); document.write( "\"cos%28u%29+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=2, b=-7, c=-8
\n" ); document.write( "cos(u)≈4.41(reject, (-1 < cos(u) < 1)
\n" ); document.write( "or
\n" ); document.write( "cos(u)≈-0.9075
\n" ); document.write( "u=0.4335, 3.575 (in Q3 and Q4 where cos<0)
\n" ); document.write( "
\n" ); document.write( "
\n" );