D=-5.3
a1=-7.7
a7=-7.7-5.3(7-1)
a7=<span>-7.7-5.3*6
а7=-7.7-31.8
а7=-39.5</span>
Дано:
a8= -24.1
a18= -39.1
Найти: d - ?
Решение:
a8=a1+d(8-1)
a18=a1+d(18-1)
составим систему
{a8=a1+7d
{a18=a1+17d
{-24,1=a1+7d/ *(-1)
{-39.1=a1+17d
{24.1= -a1-7d
{-39.1=a1+17d
-15=10d
d=-15/10
d= -1.5
Ответ: d= -1.5
1)1/m -1/n=(n-m)/mn
2)(n-m)/mn *m²n²/(m-n)(m+n)=-mn/(m+n)
m=2-√2 n=2+√2 (√2-2)(√2+2)/(2-√2+2+√2)=(2-4)/4=-2/4=-1/2
X^5-x=x(x^4-1)=x(x^2-1)(x^2+1)=x(x-1)(x+1)(x^2+1)
Sin x * sin y = 1/2 (cos (x-y) - cos(x+y))
cos (x-y) - cos(x+y) = sqrt(3)/2
cosx * cosy = 1/2 (cos (x-y) + cos(x+y))
cos (x-y) + cos(x+y) = sqrt(3)/2
2 * cos(x-y) = sqrt(3)
cos(x-y) = sqrt(3)/2
x-y = +- (pi/6) + 2pi * k
справишься дальше?