Solución de esta ecuación 4x - 1 / x - 1 + 1 = 5 / 4?

Respuesta : <img src="https://tex.z-dn.net/?f=x%3D%5B%5Cfrac%7B5-%5Csqrt%7B281%7D%20%7D%7B32%7D%20%2C%20%5Cfrac%7B5%2B%5Csqrt%7B281%7D%7D%7B32%7D%5D%3D%5B-0.3675954566950066%2C0.6800954566950066%5D" />Explicación paso a paso : <img src="https://tex.z-dn.net/?f=4x-%5Cfrac%7B1%7D%7Bx%7D%20-1%2B1%3D%5Cfrac%7B5%7D%7B4%7D%5C%5C%5C%5C4x-%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B5%7D%7B4%7D%5C%5C%5C%5C4x%3D%5Cfrac%7B5%7D%7B4%7D%2B%5Cfrac%7B1%7D%7Bx%7D%5C%5C%5C%5C4x%3D%5Cfrac%7B5%2Ax%7D%7B4%2Ax%7D%2B%5Cfrac%7B1%2A4%7D%7Bx%2A4%7D%5C%5C%5C%5C4x%3D%5Cfrac%7B5x%2B4%7D%7B4x%7D%5C%5C%5C%5C4x%2A4x%3D5x%2B4%5C%5C%5C%5C16x%5E%7B2%7D%20%3D5x%2B4%5C%5C%5C%5C16x%5E%7B2%7D-5x-4%3D0%5C%5C%5C%5C" />Ahora se resuelve una función cuadrática : <img src="https://tex.z-dn.net/?f=a%3D16%5C%5Cb%3D-5%5C%5Cc%3D-4%5C%5C%5C%5Cx%3D%5B%5Cfrac%7B-b-%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%20%7D%7B2a%7D%20%2C%20%5Cfrac%7B-b%2B%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%20%7D%7B2a%7D%5D%5C%5C%5C%5Cx%3D%5B%5Cfrac%7B-%28-5%29-%5Csqrt%7B%28-5%29%5E%7B2%7D-4%2816%29%28-4%29%7D%20%7D%7B2%2816%29%7D%20%2C%20%5Cfrac%7B-%28-5%29%2B%5Csqrt%7B%28-5%29%5E%7B2%7D-4%2816%29%28-4%29%7D%20%7D%7B2%2816%29%7D%5D%5C%5C%5C%5Cx%3D%5B%5Cfrac%7B5-%5Csqrt%7B25%2B256%7D%20%7D%7B32%7D%20%2C%20%5Cfrac%7B5%2B%5Csqrt%7B25%2B256%7D%20%7D%7B32%7D%5D%5C%5C%5C%5Cx%3D%5B%5Cfrac%7B5-%5Csqrt%7B281%7D%20%7D%7B32%7D%20%2C%20%5Cfrac%7B5%2B%5Csqrt%7B281%7D%7D%7B32%7D%5D%5C%5C%5C%5C" />.