Rozwiąż równania (+prosiłbym o ich nazwy) daje 50 punktów
1) (x+8)(-x-5)(2x-10)=0
2) x^2-36=0
3) x^2-x=0
4) x^2-4x+4=0


Odpowiedź :

Odpowiedź:

1)

(x +8)( - x - 5)(2x - 10) = 0

x+8 = 0 ∨ - x - 5 = 0 ∨ 2x - 10 = 0

x = -8 ∨ - x = 5 ∨ 2x = 10

x = - 8 ∨ x = -5 ∨ x = 10/2 = 5

x = { - 8 , - 5 , 5 }

2)

x² - 36 = 0

(x - 6)(x +6) = 0

x - 6 = 0 ∨ x+ 6 = 0

x = 6 ∨ x = - 6

x = { - 6 , 6 }

3)

x² - x = 0

x(x - 1) = 0

x = 0 ∨ x - 1 = 0

x = 0 ∨x = 1

x = { 0 , 1 }

4)

x² - 4x + 4 = 0

a = 1 , b = - 4 , c = 4

Δ = b² - 4ac = (- 4)² - 4 * 1 * 4 = 16 - 16 = 0

x₁ = x₂ = - b/2a = 4/2 = 2

x = 2