17. Rozwiąż nierówność. Zadania treningowe
a)
b)
c)
d)
e)
f)
g)
h)
i) i)
k)
(x + 2)(3 - x) > x (x + l)2 < (2x- l)2 (x - l)3 ^ x(x + l)2 - (x - l)2 (1 - x)2 + (1 + x)2 ^ 4x (x + l)2
X < --—
4
(x + 2)1 >4(x-3)
(x + 2)2 < (2x - 3)2 (x- l)2 ^2
(2x - l)2 + (2x + l)2 + (x- 3)2 > 10 (x + l)2 < (x - 1)(2 - x)
(.x - 2)2 (x - 3)2 x
2 3 < 6
Zadania utrwalające
(4 - 3x)(4x + 3) > 7x
(x + 2)2 < (2 - 3x)2
2 2 X > -X
(x - l)(x + 2) - (x - 2)(x + 1) > x2 + 1
x2 + 25 —-— > x 10
(x - l)3 > (x + l)1 (x-3)2 < (2x- l)2 (2 - x)2 < 3
(5x + l)2 + 4 ^ (4x + 2)2 (x - 2)3 < x(x + 2)2 - (2x)2 (x - l)2 (x - 2)2 ^ x + 1
Rozwiąż równanie. | ||
Zadania treningowe |
Zadania utrwalające | |
a) |
x3 - 1 = 0 |
x1 + 27 - 0 |
b) |
x3 + 8 = 0 |
x3 - 64 = 0 |
c) |
9x - x3 = 0 |
o ii X | 1 CO X |
d) |
X8 = X10 |
4x2 = x1 |
e) |
x3 + 3x = 0 |
x3 + x = 0 |
f) |
x1 - 4 = 0 |
x1 = 9 |
g) |
x1 + 16 = 0 |
1 + x1 = 0 |
h) |
16x = x5 |
x5 + x = 0 |
i) |
x5 + 64 = 0 |
o II 00 1 "i1 X |
j) |
x20 = 2x10 |
7x7 = x10 |
k) |
x6 - 27 = 0 |
x6 - 64 = 0 |
1) |
x6 - 4 = 0 |
x6 - 9 = 0 |
O II \Q r-H 1 00 X B |
x8 - 81 = 0 |
12 1. Wstęp do algebry
6 ^ 12