Question

equação fracionária me ajudem!!!!!!!
A 23/4 + 1/x = 35/6
B 2x/x-3 = 3/x +2

Answer 1

Resposta:

a) x=12

b) x=-3

Explicação passo-a-passo:

a)

$\frac{ 23 }{ 4 } + \frac{ 1 }{ x } = \frac{ 35 }{ 6 } \\ 12x\times \left(\frac{23}{4}\right)+12=70x \\ \frac{12\times 23}{4}x+12=70x \\ \frac{276}{4}x+12=70x \\ 69x+12=70x \\ 69x+12-70x=0 \\ -x+12=0 \\ -x=-12 \\ x=12$

b)

$\frac{ 2x }{ x-3 } = \frac{ 3 }{ x } +2 \\ x\times 2x=\left(x-3\right)\times 3+x\left(x-3\right)\times 2 \\ x^{2}\times 2=\left(x-3\right)\times 3+x\left(x-3\right)\times 2 \\ x^{2}\times 2=3x-9+x\left(x-3\right)\times 2 \\ x^{2}\times 2=3x-9+\left(x^{2}-3x\right)\times 2 \\ x^{2}\times 2=3x-9+2x^{2}-6x \\ x^{2}\times 2=-3x-9+2x^{2} \\ x^{2}\times 2+3x-2x^{2}=-9 \\ 3x=-9 \\ x=\frac{-9}{3} \\ x=-3$

espero ter ajudado, bons estudos! :)