document.write( "Question 960544: 2 cos^2 theta-13 cos theta = -6\r
\n" ); document.write( "\n" ); document.write( "We are asked to find:\r
\n" ); document.write( "\n" ); document.write( "a) all degree solutions and (let k be any integer)\r
\n" ); document.write( "\n" ); document.write( "b) 0 degree\n" ); document.write( "\n" ); document.write( "I have no idea how to set up these problems (we are not supposed to use a calculator) and how the degrees are found.
\n" ); document.write( "

Algebra.Com's Answer #587033 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
2 cos^2 theta-13 cos theta = -6
\n" ); document.write( "We are asked to find:
\n" ); document.write( "a) all degree solutions and (let k be any integer)
\n" ); document.write( "b) 0 degree I have no idea how to set up these problems (we are not supposed to use a calculator) and how the degrees are found.
\n" ); document.write( "***
\n" ); document.write( "use x for theta
\n" ); document.write( "2cos^2(x)-13cosx=-6
\n" ); document.write( "2cos^2(x)-13cosx+6=0
\n" ); document.write( "..
\n" ); document.write( "let u=cosx
\n" ); document.write( "u^2=cos^2(x)
\n" ); document.write( "..
\n" ); document.write( "2u^2-13u+6=0
\n" ); document.write( "(2u-1)(u-6)=0
\n" ); document.write( "..
\n" ); document.write( "2u-1=0
\n" ); document.write( "u=1/2=cosx
\n" ); document.write( "x=60˚+360k, 300˚+360k, k=any integer
\n" ); document.write( "..
\n" ); document.write( "u-6=0
\n" ); document.write( "u=6≠cosx(no solution, (-1 ≤ cosx ≤ 1)\r
\n" ); document.write( "\n" ); document.write( "note: I don't understand what b) is asking.
\n" ); document.write( "
\n" );