Question

Me ajudem Em Matemática resolva as equações fracionárias

A) 12/2x-3=2
B) 5x+3/x=2
C)1/4x+1/12=2/3x
D)4/3x-x+4/6x=2
E)3/x-1+4x/x+1=4

Por Favor

Answer 1

A) 12 = 2 ==> 2(2x-3) = 12 ==> 4x - 6 = 12 ==> 4x = 12+6 ==> 4x = 18
   2x-3   1

4x = 12+6 ==> 4x = 18 ==> x = 18/4
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B) 5x+3 = 2  ==> 5x + 3 = 2x ==> 5x - 2x = 3 ==> 3x = 3 ==. x = 1
         x
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C) 1x + 1 = 2x ==> 3x + 1 = 8x ==> 8x-3x = 1 ==>5x = 1 ==> x = 1/5
     4     12   3
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D) 4x - x+4 = 2 ==> 8x^2 - (x+4) = 12x ==> 8x^2 - 12x - x - 4 = 0 
     3       6x

8x^2 - 13x - 4 = 0 

Δ = (-13)² - 4.8.(-4) = 169 + 128 = 397

x = 13+/-√397
            16
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E)  3  +  4x = 4            mmc(x-1,x+1) = (x-1)(x+1)
    x-1    x+1

3(x+1) + 4x(x-1) = 4(x-1)(x+1) ==> 3x + 3 + 4x² - 4x = 4x² - 4

3x + 3 + 4x² - 4x - 4x² + 4 = 0 ==> 3x - 4x = - 4 - 3

- x = -7(-1) ==> x = 7