{а+b=2{ab=-48 помоощщщщщщ

Question

{а+b=2{ab=-48 помоощщщщщщ

Answer 1

a + b = 2
a*b = - 48

a = 2 - b
(2 - b)*b + 48 = 0 *

*
2b - b^2 + 48 = 0   // : (-1)
b^2 - 2b - 48 = 0 
D = 4 + 4*48 = 196 = 14^2
b₁ = ( 2 + 14)/2  = 16/2 = 8;
b₂ = ( 2  - 14)/2 = - 12/2 = - 6;

a₁ = 2 - 8 = - 6
b₁ = 8;

a₂ = 2 + 6 = 8
b₂ = - 6;