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Lineárne rovnice, riešenie lineárnych rovníc
Neriešené príklady
Riešte lineárne rovnice v danej množine D:
a) 4x - 7 = 5x + 1, D = R | b) 4·(5x + 1) = 2 - 9x, D = R | |
c) 2x + 2 = 3·(1 - 3x), D = R | d) 3·(3x - 3) - (8x + 2) = 4x - 1, D = R | |
e) 4·(4x - 4) - (5x + 9) = 3·(4x - 4), D = R | f) 3·(x - 4) - (2x + 4) = -(2 + 4x), D = R | |
g) -(9x - 2) - 4·(x + 2) - 9 = 2·(4x - 3) - 4·(3 + x), D = R | ||
h) 8x + 3·(3x - 2) - 6x + 2 = 3x - (x + 4 + 4x), D = R | ||
i) 3x - 3·[4x - (-3 + 4x)] = 6, D = R | j) [(2x - 4)·3 - 4x]·(-3) = 2x + 4, D = R | |
k) 7x - 3[3x - 2·(2x - 3)] = (2x + 2)·(-2), D = R | ||
Riešte lineárne rovnice v danej množine D:
| a) | 3 | ·(2x + 3) = -3 , D = R |
| 4 |
| b) - | 2 | ·(4x + 3) = 3x + 1 , D = R |
| 3 |
| c) -5x - | 1 | ·(x + 4) = 3 - 7x , D = R |
| 3 |
| d) | 1 | ·(3x + 4) + | 3 | ·(4x - 1) = 3 - | 1 | x , D = R |
| 2 | 4 | 2 |
| e) (4x - 2) - | 2 | ·(3x + 3) = | 1 | (2x + 1), D = R |
| 3 | 2 |
| f) -4(5x + 1) - (3x - 1)· | 2 | = 5 - 3·(2x - 3) + | 1 | , D = R |
| 3 | 2 |
| g) (4x + 4) · | 3 | - | 3 | ·(3x + 4) = 4 + | 1 | ·(x + 2) + | 1 | , D = R |
| 4 | 4 | 4 | 2 |
| h) (4x - 4)· | 3 | - (x + 3) = - | 1 | ·(x + 1) - | 1 | x, D = R |
| 4 | 2 | 2 |
Riešte lineárne rovnice v danej množine D:
| a) | 2 | x = 4, D = R |
| 3 |
| b) | 4x + 3 | = 2, D = R |
| 4 |
| c) | x + 4 | = 2x - 5, D = R |
| 2 |
| d) | 3x + 2 | = | 4x + 2 | , D = R |
| 2 | 2 |
| e) - | 3x + 5 | = 3x , D = R |
| 2 |
| f) 4 - | 4x + 1 | = 2x + 5 , D = R |
| 3 |
| g) | 4x + 2 | + | 2x + 4 | = 3 , D = R |
| 2 | 4 |
| h) | 3x - 4 | + | 3x + 1 | = | 3x + 3 | , D = R |
| 2 | 4 | 3 |
| i) | 5x - 4 | - | 2x + 3 | = | x + 4 | - 4x, D = R |
| 3 | 4 | 5 |
| j) 6x - | 3x - 4 | - | 3x | = 3·(4x + 4), D = R |
| 3 | 6 |
Riešte lineárne rovnice v danej množine D:
a) 4x·(5x - 2) = (4x - 1)·5x - 3x - 3
b) (6x - 5)2 - 2x = (6x + 3)·(6x - 3) + 2
c) (4x - 3)2 - (3x + 2)2 = 2 - (3x + 5)·(3x - 5) + 16x2
d) 5x·(2x - 4) - (4x + 3) = 2x·(5 + 5x) + 5
e) 3x - 4·(x + 1)2 = 3 - (4x - 3)·(x + 4)
Riešte lineárne rovnice v danej množine D:
| a) | 6x + 5 | = 1 |
| x - 3 |
| b) | 4x + 4 | - x = 2 - x |
| 4x - 3 |
| c) | 12x | - | 3 | = 4 |
| 3x + 2 | 5x + 2 |
| d) | 6 | + | 6x | = 3 |
| 4x2 - 4 | 2x + 2 |
| e) | 1 | - | 4 | = | 2 |
| 5x + 1 | 5x - 1 | 25x2 - 1 |
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