Question

pueden resolver esto porfa, es para ahora

x/(x-1)=3-(x+2)/x

Answer 1

Explicación paso a paso:

x/(x-1)=3-(x+2)/x

x•x=3x(x-1)-(x+2)(x-1)

x²=3x²-3x-x²-x+2

x²-4x+2=0

x1=(4+√(16-8))/2=2+√8/2=2+√2

y x2=2-√8/2=2-√2

Answer 2

Respuesta:

$\sqrt{2} +2\\-\sqrt{2}+2$

Explicación paso a paso:

$\frac{x}{x-1}=3-(\frac{x+2}{x} )\\ \frac{x}{x-1}=\frac{3x}{x} -(\frac{x+2}{x} )\\\\ \frac{x}{x-1}=\frac{3x}{x} +(\frac{-x-2}{x} )\\\\\\ \frac{x}{x-1}=\frac{3x-x-2}{x}\\ \frac{x}{x-1}=\frac{2x-2}{x}\\\\x^2=(2x-2)(x-1)\\x^2=2(x-1)(x-1)\\\\x^2=2(x-1)^2\\\\x^2=2x^2-4x+2\\-x^2+4x-2=0\\x^2-4x+2=0\\x^2-4x=-2\\x^2-4x+4=-2+4\\(x-2)^2=2\\\left|x-2\right|=\sqrt{2}\\ x-2=\sqrt{2} \\x-2=-\sqrt{2} \\\\ \\x=\sqrt{2}+2\\ x=-\sqrt{2}+2$