Question

Решите 2 примера теоремой виетой

Answer 1

1.x²-3x+2=0

x1+x2=3

x1*x2=2

x1=2

x2=1

3.x²+4x+3=0

x1*x2=3

x1+x2=-4

x1=-3

x2=-1

Answer 2

1) x^2 - 5x + 6 = 0

{ x1 + x2 = 5 => { x1 = 2

{ x1 * x2 = 6 { x2 = 3

Ответ: (2; 3).

2) x^2 - 3x + 2 = 0

{ x1 + x2 = 3 => { x1 = 1

{ x1 * x2 = 2 { x2 = 2

Ответ: (1; 2).