2. a⁶-b⁶=(a³-b³)(a³+b³)=(a-b)(a²+ab+b²)(a+b)(a²-ab+b²)=(a²-b²)(a²+ab+b²)(a²-ab+b²)
3. -1(1-x)²=0
1-x=0
x=1
<span>x^2-6x+8=0
</span>Решение уравнения:
D=36-4*1*8=36-32=4
X1=-6+2/2=-4/2=-2
X2=-6-2/2=-8/2=-4
Берем производную: S'(t) = 2t - 3
приравниваем к 5: 2t - 3 = 5
t = 4
1-й лист:
1)(1-log(4,36))(1-log(2,36)) = log(4,9)*log(2,18) = log(2,3)*(1+2log(2,3))
2) 9^(2log(9,8))=64
3) 25^log(5,sqrt(8)) =64
4) log(16,log(2,16)) = log(16,4) = 1/2
5) 30/(3^log(3,2)) = 15
6)log(2/5,sqrt(5/2)) = -1/2
7)
8) 3log(5,2)*log(2,5)=3
2-й лист:
1) tg(n/6) - tg(-n/6) = 2tg(n/6)
2)log(6,216)*log(9,729) = 9
3) 9^log(3,2) = 4
4)
5) log^2(sqrt(15),3375) = 36
Задания с первого листа:
6)9^(2log(9,8))=64
7)25^log(5,sqrt(8)) =64
8)log(16,log(2,16)) = log(16,4) = 1/2
9)30/(3^log(3,2)) = 15