Resolución de 11 = 7 + √10 - 4x?

<img src="https://tex.z-dn.net/?f=11%3D7%2B%20%5Csqrt%7B10-4X%7D" />

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B10-4X%7D%2B7%3D11" />

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B10-4X%7D%3D11-7" />

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B10-4X%7D%3D4" />

Ahora elevamos al cuadrado ambos lados de la igualdad para deshacernos de la raíz :

<img src="https://tex.z-dn.net/?f=%28%20%5Csqrt%7B10-4X%7D%29%20%5E%7B2%7D%3D%284%29%20%5E%7B2%7D" />

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B10-4X%3D16%7D%7B2%7D" />

<img src="https://tex.z-dn.net/?f=5-2X%3D8" />

<img src="https://tex.z-dn.net/?f=5-8%3D2X" />

<img src="https://tex.z-dn.net/?f=-3%3D2X" />

<img src="https://tex.z-dn.net/?f=-%20%5Cfrac%7B3%7D%7B2%7D%3DX" /> = = = > Respuesta.

Comprobación :

[img = 10]

[img = 11]

[img = 12]

[img = 13]

[img = 14]

MUCHA SUERTE!