Me podrian ayudar porfisss?

3 - 5 / (x - 1)≥5 / x

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%28x-1%29-5%7D%7Bx-1%7D%20%20%5Cgeq%20%20%5Cfrac%7B5%7D%7Bx%7D%20" />

<img src="https://tex.z-dn.net/?f=x%28%20%5Cfrac%7B3x-8%7D%7Bx-1%7D%29%20%20%5Cgeq%205" />

<img src="https://tex.z-dn.net/?f=3%20x%5E%7B2%7D%20-8x%20%5Cgeq%205x-5" />

<img src="https://tex.z-dn.net/?f=3%20x%5E%7B2%7D%20-13x%2B5%20%5Cgeq%200" />

usando la cuadratica menos b - raiz deb cuadrado menos cuatro ac sobre dos a

a = 3 b = - 13 c = 5

<img src="https://tex.z-dn.net/?f=x1%3D%5Cfrac%7B1%7D%7B6%7D%5Cleft%28-13-%5Csqrt%7B109%7D%5Cright%29" />

<img src="https://tex.z-dn.net/?f=x2%3D%5Cfrac%7B13%2B%5Csqrt%7B109%7D%7D%7B6%7D" />

como es mayor o igual a cero

<img src="https://tex.z-dn.net/?f=x%2B%5Cfrac%7B13%2B%5Csqrt%7B109%7D%7D%7B6%7D%20%5Cgeq%200" />

<img src="https://tex.z-dn.net/?f=x-%5Cfrac%7B13%2B%5Csqrt%7B109%7D%7D%7B6%7D%20%5Cgeq%200" />

solucion

<img src="https://tex.z-dn.net/?f=x%5Cle%20%5Cfrac%7B13-%5Csqrt%7B109%7D%7D%7B6%7D%5C%3A%5C%3A%5C%3A%5Cmathrm%7Bo%7D%5C%3A%5C%3A%5C%3A%5C%3Ax%5Cge%20%5Cfrac%7B13%2B%5Csqrt%7B109%7D%7D%7B6%7D" />.