При а принадлежащем множеству [-2;4]
72 000:9*4=32 000
...............................
4*3^x-9*2^x-5*3^(x/2)*2^(x/2)≥0/2^x
4*(3/2)^x-5*(3/2)^(x/2)-9≥0
(3/2)^(x/2)=a
4a²-5a-9≥0
D=25+144=169
a1=(5-13)/8=-1 U a2=(5+13)/8=9/4
+ _ +
------------------[-1]------------------[9/4]--------------------
a≤1⇒(3/2)^(x/2)≤1⇒x/2≤0⇒x≤0
a≥9/4⇒(3/2)^(x/2)≥9/4⇒x/2≥2⇒x≥4
x∈(-∞;0] U [4;∞)
Q=b2/b1=-21/-6=3.5
bn=b1*q^n-1=-6*3.5^3=-257,25
5/9*(- 3 6/7)-(-3 5/7)*3/52
1) 5/9*(-3 6/7)= 5/9*(-27/7)= -15/7= -2 1/7
2) -3 5/7*3/52= -26/7*3/52= -3/14
3) -2 1/7-(-3/14)= -30/14+3/14= -27/14= -1 13/14
(-2 1/3-3 1/4)*(2 3/4-0,59)
1) -2 1/3-3 1/4= -2 4/12 -3 3/12= -5 7/12
2)2 3/4- 59/100= 2 75/100-59/100= 2 16/100= 2 4/25
3)-5 7/12*2 4/25= -67/12*54/25= -1206/100= 12 6/100= -12 3/50