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CarolCM2004
@CarolCM2004
December 2019
1
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Resolva:
a) x/4 +7= x/2 + 5
b) x- 2x -1 = x-1
--------- ------
3 5
c) 3x-2 . (x - 5) + 3x-5 = 0
----------
2
d) 3. (x+2) + 3x+1 = 2
------------ --------
5 4
e) 2x+2 + 3x-5 = 9
--------- --------
3 2
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a) x/4 +7= x/2 + 5
x/4 - x/2 = -2
x/4 - 2x/4 = -2
-x/4 = -2
-x = -8
x= 8
b)
x/3 (
-2x-1)/5 = x - 1
x/3 - 2x/5 -x = -1 + 1/5
5x/15 - 6x/15 -x = -4/5
-x/15 -15x/15 = -4/5
-16x/15 = -4/5
-16x = -12
x = 3/4
c) (3x-2)
(x - 5)/2 + 3x = 5
(3x²-17x+10)/2 + 6x/2 = 5
(3x²-17x)/2 + 6x/2 = 0
3x²-11x = 0
Δ=121 +/-11/6
x1= 11/6 ou x= -11/6
d) (3x+6)/5 + (3x +1)/4 = 2
(12x+24+15x +5) = 40
(27x + 29) = 40
27x = 11
x= 11/27
e)
e) (2x+2)/3+ (3x-5)/2 = 9
(4x+4 + 9x -15)=54
13x -11 = 54
x
=43/13
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x/4 - x/2 = -2
x/4 - 2x/4 = -2
-x/4 = -2
-x = -8
x= 8
b) x/3 (-2x-1)/5 = x - 1
x/3 - 2x/5 -x = -1 + 1/5
5x/15 - 6x/15 -x = -4/5
-x/15 -15x/15 = -4/5
-16x/15 = -4/5
-16x = -12
x = 3/4
c) (3x-2)(x - 5)/2 + 3x = 5
(3x²-17x+10)/2 + 6x/2 = 5
(3x²-17x)/2 + 6x/2 = 0
3x²-11x = 0
Δ=121 +/-11/6 x1= 11/6 ou x= -11/6
d) (3x+6)/5 + (3x +1)/4 = 2
(12x+24+15x +5) = 40
(27x + 29) = 40
27x = 11
x= 11/27
e) e) (2x+2)/3+ (3x-5)/2 = 9
(4x+4 + 9x -15)=54
13x -11 = 54
x=43/13