2.082.
2.083.
2.084.
2.085.
2.086.
2.087.
2.088.
2.089.
2.090.
2.091.
b(abc+a+c)      a+^-     a+ \ '
2 - X + 4X2 + 5i^+3
2x + 1 +
2a x—1 /'
a—b
a-\/a2-b2 _ a+^/a2-b2\ . 4Va4-a2b2 a+^^2^P     a-^/ä2~^tiIJ '      (56p '
VŠ(a-b2)+V3bVW  _ y^-y^ V2(a-62)2+(26^)2      /I /I"
8-n
2 +
2 Ůn \ 4-\fn
Z ^2+2
(a-b)3(y/ä+\/b)~3+2av/ä+b\/b 3(\/äb-b)
+
a—b
Z1/6-!/1/6 (al/3+ž/l/3)2_43^ -2/3..-1/6
a.l/2_|_:rl/3yl/6       :e5/6j/1/3_:e1/2j/2/3    "T zx f/
-3/5
2.092. x
x—i
+
x—1
(z+1)2 ^ 3/(^2-1)2
I)4/5.
2.093.
1+VŠ+Vt + 1-^3+v^    VV      Vi +
2.094.
m4/3_27ml/3.n • f 1 — 3 3/iT m2/3+3 3/m,n+9n2/3 -l V m
p-3
3/ 2
2.095. zp2+3p : z9-p2 • z3p-p2 .
2.096,
x—\J x—a2      *Jx+\/ x—a2
x—a      I tJx+^/x—a2      *Jx—\/x—a2 J
2.097.
(v^+2)(^-l )-(Vi-2) í^ + 1
[2-^+2): +
2.098.
4/1,4.
4í2
1- ^8*3 1- &2i
/2í
1+
2í
1
2.099.
2.100.
2.101.
2.102.
2.103.
2.104.
2.105.
2.106.
2.107.
2.108.
2.109.
2.110.
2.111.
z-2+±
Z
1_ g2+4
zVž\ z +4 +z.
___a__1_   i 1
í1     a)   X) '   Í-a+l) ' \J(a+1)2 ■
(V^fe - a&(a + V^fe)-1) : (2 ((afe)1/2 - b) ■ (a - fe)"1).
a 3/i      4a6      „2 3/ d        4,2 ,3,
vr^2.
feg • vV - 2bVa2 - 62 • • V a2 + 2bv^
a = 4/3, 6 = 0,25.
b2:
l+(a+a)-1 l-ía+x)-1
1
l-(a2+x2) 2ax
; x
a-1-
a = 0,75, 6 = 4/3.
/ \ 3
2\ 3
-4a
+ (-lOayft ■ ^{ax)-1)2 + -2
a = 3|, x = 0,28.
Vc—d / /c—d i Ic2+cd c2^lV c+d V
c = 2, d = 1/4.
a26-2+a-262-(a6-1+a-16) '
Odpovědi:
2.082.-1 2.083. 2x - 1 2.084.1 2.085.1 2.086. -25 pro a > 0; 25 pro a < 0 2.087. —y/äč 2.088. ^/TT^ 2.089. 2 2.090. 3 2.091. (x1/3 +
y^")l<jxhy2 2.092. l/(x2-l) 2.093.2^/3 2.094.0 2.095. z1/^3) 2.096. 4(^_x)
2.097.2   2.098.1   2.099.-1   2.100. z (z + l)(z + 2)   2.101.—y/2/(2a)
2.102. 1 - a pro a G (-00; -1); a - 1 pro a G (-1; 0) |J(0; 1) \J(1; 00)
2.103. a/2 2.104. (a+ 6) v^2 + 2a3 2.105.-1 2.106.29/35 2.107.^^ 2.108.-7/24 2.109.100 2.110.1/3 2.111. l/{ab)
2