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lifehitsjackson
23.10.2020 •
Mathematics
3) Hallar el conjunto solución de las siguientes ecuaciones y realizar la comprobación. a) 2x+7= -3 b) 7x-3= 9x+5 h) (2x-1)3= -125 c) 6x+7-2x = -x-8 i) 2 (x+7)2= 242 d) -9+6x= 15+2x j) 1 + √2x + 3 = 6 e) 4x-8= -4 (2x-3)+4 k) √3x + 22 = 4 f) 2x+17 = 5 (x+1) g) 7x-5= -3 (-x-9)
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Ответ:
Step-by-step explanation:
a) 2x+7= -3
2x = -10
x = -5.
b) 7x-3= 9x+5
7x - 9x = 5 + 3
-2x = 8
x = -4
h) (2x-1)3= -125
6x - 3 = -125
6 x = -128
x = 21.33
c) 6x+7-2x = -x-8
6x -2x -x = -8 -7
3x = -15
x = -5
i) 2 (x+7)2= 242
2x + 14 * 2 = 242
2x + 28 = 242
2x = 242 + 28
2x = 270
x = 135.
d) -9+6x= 15+2x
6x -2x = 15 + 9
4x = 24
x = 6.
j) 1 + √2x + 3 = 6
√2x + 4 = 6
√2x = 6+4
√2x = 10
x = 7.1
e) 4x-8= -4 (2x-3)+4
4x - 8 = -8x +12 + 4
4x -8 = -8x + 16
4x - 8x = 16 - 8
-4x = 8
x = -2.
k) √3x + 22 = 4
√3x = 4 + 22
√3x = 26
x = 15
f) 2x+17 = 5 (x+1)
2x + 17 = 5x + 5
2x - 5x = 5 -17
-3x = -12
x = 4.
g) 7x-5= -3 (-x-9)
7x - 5 = 3x + 27
7x - 3x = 27 + 5
4x = 32
x = 8.
Ответ: