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