6^10:6^8=степени отнимаются(10-8)=6^2=36
А)x²/(x²-9)=(12-x)/(x²-9)⇒
x²=12-x;⇒x²+x-12=0
x₁,₂=-1/2⁺₋√1/4+12=-1/2⁺₋7/2;
x₁=-1/2+7/2=-6/2=-3;
x₂=-1/2-7/2=-8/2=-4;
б)6/(x-2)+5/x=3⇒(6x+5(x-2))=3x(x-2)⇒6x+5x-10=3x²-6x;⇒
3x²-17x+10=0;
x₁,₂=(17⁺₋√(17²-4·3·10))/6=(17⁺₋13)/6;
x₁=(17+13)/6=30/6=5;
x₂=(17-13)/6=4/6=2/3;
cos4x-sin3x cosx+cos2x=0;
(√(43)-1)² = 43-2√(43)+1 = 44-2√(43).