Разложите ** множетели x^2-x-42 (x+2/3x-2/x-2-x-14/3x^2-6x)/x+2/6x*1/x-5

Question

Разложите на множетели

x^2-x-42

(x+2/3x-2/x-2-x-14/3x^2-6x)/x+2/6x*1/x-5

Answer 1

x2 - x - 42 = 0
D = b2 - 4ac
D = 1 + 168 = 169 = 13^2

x1,2 = -b ± √D/2a
x1 = 1 + 13/2 = 14/2 = 7
x2 = 1 - 13/2 = - 12/2 = -6
Ответ: x1 = 7; x2 = -6

  x2 - x - 42 =(x-7)(x+6)