Dada la ecuacion (x - 1)(x + 2) - (2x - 3) (x + 4) - x + 14 = 0 es verdad que * las raices son iguales * una raiz es real y la otra imaginaria * la suma de las raices es mas 5 * las raices son irracio?

<img src="https://tex.z-dn.net/?f=%28x-1%29%28x%2B2%29-%20%282x-3%29%20%28x%2B4%29-x%2B14%3D0%20%5C%5C%0Ax%5E%7B2%7D%20%2B%20x%20-%202%20-%20%28%202x%5E2%20%2B%208x%20-%203x%20-%2012%29%20-%20x%20%2B%2014%20%3D%200%20%5C%5C%0A-x%5E%7B2%7D%20-%205x%20%2B%2024%20%3D%200%20%5C%5C%0AVer%20%5C%20discriminante%20%3A%20%20%5C%5C%0AD%20%3D%20b%5E%7B2%7D%20-%204ac%20%5C%5C%0AD%20%3D%2025%20-%204%2A-1%2A24%20%5C%5C%0AD%20%3D%20121%20%3D%3E%20Raices%20%5C%20reales%20%5C%5C%20%5C%5C%0Ax_%7B1%7D%20%3D%20%20%5Cfrac%7B-b%20%2B-%20%20%20%5Csqrt%7BD%7D%20%7D%7B2a%7D%20%5C%5C%20%5C%5C%0Ax_%7B1%7D%20%3D%20%20%5Cfrac%7B5%20%2B%2011%7D%7B-2%7D%20%3D%20-8%20%5C%5C%20%5C%5C%0Ax_%7B2%7D%20%3D%20%20%5Cfrac%7B5%20-11%7D%7B-2%7D%20%3D%203%20%5C%5C%20%0Ax_%7B1%7D%20%2B%20x_%7B2%7D%20%3D%205%20%20%20%20" /> Raices \ reales \ \ \ \ &#10 ; x_{1} = \ frac{ - b + - \ sqrt{D} }{2a} \ \ \ \ &#10 ; x_{1} = \ frac{5 + 11}{ - 2} = - 8 \ \ \ \ &#10 ; x_{2} = \ frac{5 - 11}{ - 2} = 3 \ \ &#10 ; x_{1} + x_{2} = 5 " alt = "(x - 1)(x + 2) - (2x - 3) (x + 4) - x + 14 = 0 \ \ &#10 ; x ^ {2} + x - 2 - ( 2x ^ 2 + 8x - 3x - 12) - x + 14 = 0 \ \ &#10 ; - x ^ {2} - 5x + 24 = 0 \ \ &#10 ; Ver \ discriminante : \ \ &#10 ; D = b ^ {2} - 4ac \ \ &#10 ; D = 25 - 4 * - 1 * 24 \ \ &#10 ; D = 121 = > Raices \ reales \ \ \ \ &#10 ; x_{1} = \ frac{ - b + - \ sqrt{D} }{2a} \ \ \ \ &#10 ; x_{1} = \ frac{5 + 11}{ - 2} = - 8 \ \ \ \ &#10 ; x_{2} = \ frac{5 - 11}{ - 2} = 3 \ \ &#10 ; x_{1} + x_{2} = 5 " align = "absmiddle" class = "latex - formula">.