Question

Resolver a equação:

4 =   3x   - 1

x     x+1

 

Podem me ajudar?

Answer 1

$\frac{4}{x}=\frac{3x}{x+1}-1\\\\\frac{4}{x}=\frac{3x-1(x+1)}{x+1}\\\\\frac{4}{x}=\frac{3x-x-1}{x+1}\\\\\frac{4}{x}=\frac{2x-1}{x+1}\\\\x(2x-1)=4(x+1)\\\\2x^2-x-4x-4=0\\\\2x^2-5x-4=0\\\\x=\frac{5\pm\sqrt{\Delta}}{4}\begin{cases}x'=\frac{5+\sqrt{57}}{4}\\\\x''=\frac{5-\sqrt{57}}{4}\end{cases}$