X ^ 2 = 2x - 5 resuelto con formula general?

<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%3D2x-5%5C%5C%20%5C%5C%20x%5E%7B2%7D-2x%2B5%3D0" />

Tenemos una ecuación de segundo grado, de la forma ax² + bx + c, y nos piden resolverla por Fórmula General :

<img src="https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D%20%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%20%5E%7B2%7D-4%28a%29%28c%29%20%7D%20%7D%7B2%28a%29%7D%20%7D" />

Valores : a = 1 ; b = - 2 ; c = 5

Sustituímos los valores en la fórmula :

<img src="https://tex.z-dn.net/?f=x%3D%20%5Cdfrac%7B-%28-2%29%5Cpm%20%5Csqrt%7B%28-2%29%20%5E%7B2%7D-4%281%29%285%29%20%7D%20%7D%7B2%281%29%7D%5C%5C%20%5C%5Cx%3D%20%5Cdfrac%7B2%5Cpm%20%5Csqrt%7B4-20%7D%20%7D%7B2%7D%5C%5C%20%5C%5Cx%3D%20%5Cdfrac%7B2%5Cpm%20%5Csqrt%7B-16%7D%5C%20iR%7D%7B2%7D%5C%5C%20%5C%5Cx%3D%20%5Cdfrac%7B2%5Cpm%20%5Csqrt%7B16%7D%5C%20iR%20%7D%7B2%7D%5C%5C%20%5C%5Cx%3D%20%5Cdfrac%7B2%5Cpm4%5C%20iR%7D%7B2%7D%5C%5C%20%5C%5C%20%5C%5C%5Cboxed%7B%20%5Cboxed%7BObteniendo%5C%20%5C%20x_%7B1%7D%3A%7D%7D%5C%5C%20%5C%5Cx_%7B1%7D%3D%20%5Cdfrac%7B2%2B4%5C%20iR%7D%7B2%7D%5Cto%5C%20Factorizamos%5C%20el%5C%20numerador%5C%20por%5C%20t%5C%27ermino%5C%20com%5C%27un.%5C%5C%20%5C%5Cx_%7B1%7D%3D%20%5Cdfrac%7B2%281%2B2%5C%20iR%29%7D%7B2%7D%5Cto%5C%20El%5C%202%5C%20que%5C%20multiplica%5C%20se%5C%20elimina%5C%20arriba%5C%20y%5C%20abajo.%5C%5C%20%5C%5Cx_%7B1%7D%3D1%2B2%5C%20iR%5Cquad%5Ccheckmark%5C%20%5Cboxed%7BLa%5C%20primera%5C%20ra%5C%27iz.%5C%20RESPUESTA%7D" />

<img src="https://tex.z-dn.net/?f=%5Cboxed%7B%20%5Cboxed%7BObteniendo%5C%20%5C%20x_%7B2%7D%3A%7D%7D%5C%5C%20%5C%5Cx_%7B2%7D%3D%20%5Cdfrac%7B2-4%5C%20iR%7D%7B2%7D%5Cto%5C%20Factorizamos%5C%20el%5C%20numerador%5C%20por%5C%20t%5C%27ermino%5C%20com%5C%27un.%5C%5C%20%5C%5Cx_%7B2%7D%3D%20%5Cdfrac%7B2%281-2%5C%20iR%29%7D%7B2%7D%5Cto%5C%20El%5C%202%5C%20que%5C%20multiplica%5C%20se%5C%20elimina%5C%20arriba%5C%20y%5C%20abajo.%5C%5C%20%5C%5Cx_%7B2%7D%3D1-2%5C%20iR%5Cquad%5Ccheckmark%5C%20%5Cboxed%7BLa%5C%20segunda%5C%20ra%5C%27iz.%5C%20RESPUESTA%7D" />

MUCHA SUERTE!