Question

Rozwiaz rownanie :

A) (x-4)(x+5)=0

B) (2x-8)(x+3)=0

C) (5x-1)(4x-1)(3x-1)=0

D) (x kwadrat -4)(x kwadrat -9)=0

Answer 1

a) 

(x - 4)(x + 5) = 0

 

x - 4 = 0 

x = 4

 

lub ( tj. v)

x + 5 = 0 

x = -5 

 x ∈ {4; -5}

 

b)

(2x - 8)(x + 3) = 0 

 

2x - 8 = 0 

2x = 8 

x = 4 

 

lub 

x + 3 = 0 

x = -3 

 

x ∈ {4; -3}

 

c)

(5x - 1)(4x - 1)(3x - 1) = 0

 

5x - 1 = 0 

5x = 1 

x = 1/5 

 

lub 

4x - 1 = 0

4x = 1 

x = 1/4 

 

lub 

3x - 1 = 0

3x = 1 

x = 1/3 

 

x ∈ (1/5; 1/4; 1/3}

 

d)

(x² - 4)(x² - 9) = 0

(x - 4)(x +4)(x - 3)(x + 3) = 0 

 

x - 4 = 0

x = 4 

 

lub 

x + 4 = 0

x = -4 

 

lub 

x - 3 = 0

x = 3 

 

lub

x + 3 = 0 

x = -3 

 

x ∈ {4; -4; 3; -3}