El cuadrado de un número es igual a seis veces el mismo número menos cinco ¿cual es ese número?

Respuesta : <img src="https://tex.z-dn.net/?f=x%3D5%2C%5C%3Ax%3D1" />Explicación paso a paso : número⇒xOperación : <img src="https://tex.z-dn.net/?f=x%5E2%3D6x-5%5C%5C%5C%5Cx%5E2%2B5%3D6x%5C%5C%5C%5Cx%5E2-6x%2B5%3D0%5C%5C%5C%5C%5Cmathrm%7BResolver%5C%3Acon%5C%3Ala%5C%3Aformula%5C%3Ageneral%5C%3Apara%5C%3Aecuaciones%5C%3Ade%5C%3Asegundo%5C%3Agrado%3A%7D%5C%5C%5C%5Cx_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%5C%5C%5C%5C%5Cmathrm%7BPara%5C%3A%7D%5Cquad%20a%3D1%2C%5C%3Ab%3D-6%2C%5C%3Ac%3D5%3A%5Cquad%20x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-%5Cleft%28-6%5Cright%29%5Cpm%20%5Csqrt%7B%5Cleft%28-6%5Cright%29%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A5%7D%7D%7B2%5Ccdot%20%5C%3A1%7D" />Primer valor de x : <img src="https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%5Cleft%28-6%5Cright%29%2B%5Csqrt%7B%5Cleft%28-6%5Cright%29%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A5%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%5C%5C%5C%5C%3D%5Cfrac%7B6%2B%5Csqrt%7B%5Cleft%28-6%5Cright%29%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A5%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B6%2B%5Csqrt%7B16%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%5C%5C%5C%5C%3D%5Cfrac%7B6%2B%5Csqrt%7B16%7D%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B6%2B4%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B10%7D%7B2%7D%5C%5C%5C%5C%3D5" />Segundo valor de x : <img src="https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%5Cleft%28-6%5Cright%29-%5Csqrt%7B%5Cleft%28-6%5Cright%29%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A5%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%5C%5C%5C%5C%3D%5Cfrac%7B6-%5Csqrt%7B%5Cleft%28-6%5Cright%29%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A5%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%5C%5C%5C%5C%3D%5Cfrac%7B6-%5Csqrt%7B16%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%5C%5C%5C%5C%3D%5Cfrac%7B6-%5Csqrt%7B16%7D%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B6-4%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B2%7D%7B2%7D%5C%5C%5C%5C%3D1" />.