Question

Сократите дробь : x^2-64/x^2-11x+24

Answer 1

x² - 11x + 24 = 0
D = (-11)² - 4· 1 · 24 = 121 - 96 = 25

$\sqrt{D} =5$

$x_{1} = \frac{11+5}{2} = \frac{16}{2} =8$

$x_{2} = \frac{11-5}{2} = \frac{6}{2} =3$

x² - 11x + 24 = (x - 8)(x - 3)

$\frac{ x^{2} -64}{ x^{2} -11x+24} = \frac{(x-8)(x+8)}{(x-8)(x-3)} = \frac{x+8}{x-3}$