решите уравнение 1/2х^2-1/2=1/6х(х+5)

Question

решите уравнение 1/2х^2-1/2=1/6х(х+5)

Answer 1

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

 

x^2 - 1 = (x^2 + 5x)/3

3x^2 - 3 = x^2 + 5x

2x^2 - 5x - 3 = 0

 

D = 25 + 24 = 49

 

x = (5 +- 7)/4

x1 = 3

x2 = -1/2