X ^ 2 - 8x = 8Me ayudan a resolver ?

X² - 8X - 8 = 0 Aplicamos ecuación de segundo grado formula

Terminos

a = 1

b = - 8

c = - 8

<img src="https://tex.z-dn.net/?f=X%3D%20%5Cdfrac%7B-b%2B-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20%5C%5C%20%5C%5C%20X%3D%5Cdfrac%7B-%28-8%29%2B-%20%5Csqrt%7B%28-8%29%5E2-4%281%29%28-8%29%7D%20%7D%7B2%281%29%7D%20%5C%5C%20%5C%5C%20X%3D%5Cdfrac%7B8%2B-%20%5Csqrt%7B64%2B32%7D%20%7D%7B2%7D%20%5C%5C%20%5C%5C%20X%3D%5Cdfrac%7B8%2B-%20%5Csqrt%7B96%7D%20%7D%7B2%7D%20%5C%5C%20%5C%5C%20X_1%3D%5Cdfrac%7B8%2B%20%5Csqrt%7B96%7D%20%7D%7B2%7D%20%3D%20%5Cdfrac%7B8%2B%20%5Csqrt%7B6%2A16%7D%20%7D%7B2%7D%20%3D%20%5Cdfrac%7B8%2B4%5Csqrt%7B6%7D%20%7D%7B2%7D%20%3D%204%2B%202%5Csqrt%7B6%7D" />

Comprobemos

X² - 8X = 8

(4 + 2√6)² - 8(4 + 2√6) = 8

16 + 16√6 + 24 - 32 - 16√6 = 8

16 + 24 - 32 = 8

40 - 32 = 8

8 = 8

Concluimos que :

X = 4 + 2√6

Saludos desde Venezuela.