sin^2x+10cos^2x=11sinxcosx

sin²x+10cos²x-11sinxcosx=0/cos²xtg²x-11tgx+10=0tgx=aa²-11a+10=0a1+a2=11 U a1*a2=10a1=1⇒tgx=1⇒x=π/4+πna2=10⇒tgx=10⇒x=arctg10+πn