Respuestas
Respuesta dada por:
2
a. 2x + 13 = -15
2x = -15 - 13
2x = -28
x = -28 : 2
x = -14
b. 7x + 8 = 64
7x = 64 - 8
7x = 56
x = 56 : 7
x = 8
c. x + 3x + 5 = -3 . 5
x + 3x + 5 = -15
4x + 5 = -15
4x = -15 - 5
4x = -20
x = -20 : 4
x = -5
d. x + 3 - 7x = -40 + 7
x + 3 - 7x = -33
-6x + 3 = -33
-6x = -33 - 3
-6x = -36
36 = 6x
36 : 6 = x
6 = x
e. 3x - 5x + 2 . 5 = -x - x - 10
-2x + 10 = -2x - 10
No hay igualdad, no se puede resolver.
f. -2x + 6x - 8 = -36 : 4 + 8x
4x - 8 = -36 : 4 + 8x
4x - 8 = -9 + 8x
-8 + 9 = 8x - 4x
1 = 4x
1 : 4 = x
x = ¼
g. 9 . (x + 5) = 45
x + 5 = 45 : 9
x + 5 = 5
x = 5 - 5
x = 0
h. (2x - 3) . 4 = 12
2x - 3 = 12 : 4
2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6 : 2
x = 3
i. (12x - 20) : 4 = -2x
12x - 20 = -2x . 4
12x - 20 = -2 . x . 4
12x - 20 = -2 . 4x
12x - 20 . (-2) = 4x
12x - (-40) = 4x
12x + 40 = 4x
12x - 4x = 40
8x = 40
x = 40 : 8
x = 5
j. 2 . (x + 5) = 8 + 3 . (x - 5)
2x + 2 . 5 = 8 + 3x - 3 . 5
2x + 10 = 8 + 3x - 15
2x + 10 = -7 + 3x
2x + 10 + 7 = 3x
17 = 3x - 2x
17 = 1x
x = 17
k. 2 . x² = 50
x² = 50 : 2
x² = 25
x = 5 // x = -5
l. x² : 4 + 7 = 11
x² : 11 = 11
x² = 11 . 11
x² = 121
x = 11 // x = -11
m. ³√5x + 4 = 4
5x + 4 = 4³
5x + 4 = 64
5x = 64 - 4
5x = 60
x = 60 : 5
x = 12
n. √64 - x² = -17
8 - x² = -17
-x² = -17
17 = x²
x = √17 // x = -√17
o. 3 . √x + 5 = 9
√x + 5 = 9 : 3
√x + 5 = 3
x + 5 = 3²
x + 5 = 9
x = 9 - 5
x = 4
2x = -15 - 13
2x = -28
x = -28 : 2
x = -14
b. 7x + 8 = 64
7x = 64 - 8
7x = 56
x = 56 : 7
x = 8
c. x + 3x + 5 = -3 . 5
x + 3x + 5 = -15
4x + 5 = -15
4x = -15 - 5
4x = -20
x = -20 : 4
x = -5
d. x + 3 - 7x = -40 + 7
x + 3 - 7x = -33
-6x + 3 = -33
-6x = -33 - 3
-6x = -36
36 = 6x
36 : 6 = x
6 = x
e. 3x - 5x + 2 . 5 = -x - x - 10
-2x + 10 = -2x - 10
No hay igualdad, no se puede resolver.
f. -2x + 6x - 8 = -36 : 4 + 8x
4x - 8 = -36 : 4 + 8x
4x - 8 = -9 + 8x
-8 + 9 = 8x - 4x
1 = 4x
1 : 4 = x
x = ¼
g. 9 . (x + 5) = 45
x + 5 = 45 : 9
x + 5 = 5
x = 5 - 5
x = 0
h. (2x - 3) . 4 = 12
2x - 3 = 12 : 4
2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6 : 2
x = 3
i. (12x - 20) : 4 = -2x
12x - 20 = -2x . 4
12x - 20 = -2 . x . 4
12x - 20 = -2 . 4x
12x - 20 . (-2) = 4x
12x - (-40) = 4x
12x + 40 = 4x
12x - 4x = 40
8x = 40
x = 40 : 8
x = 5
j. 2 . (x + 5) = 8 + 3 . (x - 5)
2x + 2 . 5 = 8 + 3x - 3 . 5
2x + 10 = 8 + 3x - 15
2x + 10 = -7 + 3x
2x + 10 + 7 = 3x
17 = 3x - 2x
17 = 1x
x = 17
k. 2 . x² = 50
x² = 50 : 2
x² = 25
x = 5 // x = -5
l. x² : 4 + 7 = 11
x² : 11 = 11
x² = 11 . 11
x² = 121
x = 11 // x = -11
m. ³√5x + 4 = 4
5x + 4 = 4³
5x + 4 = 64
5x = 64 - 4
5x = 60
x = 60 : 5
x = 12
n. √64 - x² = -17
8 - x² = -17
-x² = -17
17 = x²
x = √17 // x = -√17
o. 3 . √x + 5 = 9
√x + 5 = 9 : 3
√x + 5 = 3
x + 5 = 3²
x + 5 = 9
x = 9 - 5
x = 4
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