Resuelve las ecuacionesa) x ^ 2 - 6x - 8 = 0b) x ( - 1 + x) = 6c) 7x ^ 2 = 70xd) 2 ( x + 3) - x ( 2x + 1) = 5e) 5 ( 2x - 1) + x (x - 1) = 5f) 12 (x ^ 2 - 1) - 6 ( 2 + x) = 18?

<img src="https://tex.z-dn.net/?f=a%29%5C%3Ax%5E2-6x-8%3D0" />

Para una ecuacion de segundo grado de la forma ax² + bx + c = 0 las soluciones son

<img src="https://tex.z-dn.net/?f=x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D" />

<img src="https://tex.z-dn.net/?f=%20x_%7B1%7D%20%3D%5Cfrac%7B-%5Cleft%28-6%5Cright%29%2B%5Csqrt%7B%5Cleft%28-6%5Cright%29%5E2-4%5Ccdot%20%5C%3A1%5Cleft%28-8%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%3A%5Cquad%203%2B%5Csqrt%7B17%7D" />

<img src="https://tex.z-dn.net/?f=%20x_%7B2%7D%20%3D%5Cfrac%7B-%5Cleft%28-6%5Cright%29-%5Csqrt%7B%5Cleft%28-6%5Cright%29%5E2-4%5Ccdot%20%5C%3A1%5Cleft%28-8%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%3A%5Cquad%203-%5Csqrt%7B17%7D" />

<img src="https://tex.z-dn.net/?f=b%29%5C%3Ax%5Cleft%28-1%2Bx%5Cright%29%3D6" />

<img src="https://tex.z-dn.net/?f=-x%2Bx%5E2%3D6" />

<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20-x-6%3D0" />

Factorizando :

<img src="https://tex.z-dn.net/?f=%28x-3%29%28x%2B2%29%3D0" />

<img src="https://tex.z-dn.net/?f=%20x_%7B1%7D%20%3D3" />

<img src="https://tex.z-dn.net/?f=%20x_%7B2%7D%20%3D-2" />

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Multiplicar - 1 a ambos lados

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Factorizando :

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Factorizando :

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