1)5sinx=3(1-sin²x)-5
5sinx=3-3sin²x-5
sinx=t
3x²+5t+2=0
D=1
t1= -2/3 t2=-1
x1= - arcsin2/3 + 2πn, n∈Z x2=3π/2 + 2πk, k∈Z
2)x-4<6-x ОДЗ<br>2x<10 x-4>0⇒x>4
x<5 6-x>0⇒x<6<br>
3)(1/3)^x=t
3t+2t- 1/3 t=14
14/3 t=14
t=3
(1/3)^x=3
x= -1
4) y`=2x²-x=0
2x²-x=0
x(2x-1)=0
x1=0 x2=0.5
_______ _________ _________
+ 0 - 0.5 +
x=0 - max
x=0.5 - min