Question

х²-13х+22=0 решите через дискриминат​

Answer 1

Ответ:

$x {}^{2} - 13x + 22 = 0 \\ d = b {}^{2} - 4ac = \\ = ( - 13) { }^{2} - 4 \times 1 \times 22 = \\ = \sqrt{} 169 - \sqrt{} 88 = \sqrt{81} = 9$

$x1 = \frac{ - b + \sqrt{d} }{2a} = \frac{13 + 9}{2} = \frac{22}{2} = 11$

$x2 = \frac{ - b - \sqrt{d} }{2a} = \frac{13 - 9}{2} = \frac{4}{2} = 2$