Question

решить одз. все под корнем у=√х² -5х -14

Answer 1

$y = \sqrt{ {x}^{2} - 5x - 14 }$

D(y):

${x}^{2} - 5x - 14 \geqslant 0 \\ D = {5}^{2} - 4( - 14) = 25 + 56 = 81 = {9}^{2} \\ x_{1} = \frac{5 + 9}{2} = 7 \\ x_{2} = \frac{5 - 9}{2} = - 2 \\ {x}^{2} - 5x - 14 = (x - 7)(x + 2) \geqslant 0 \\ x \in ( - \infty; - 2] \cup [7; + \infty )$