Question

zadanie w załączniku, nierówności

Answer 1

1.

 

2.

 

3.

 

4.

Answer 2

1

 (x+2)(2-x) = 6x - x²

-(x+2)(x-2) = 6x - x²  /*(-1)

 (x+2)(x-2) = x² - 6x

x² - 4 = x² - 6x

6x = 4

x = 4/6 = 2/3

 

2

  x²/4 - 3x +5 = (x/2 - 4)(x/2 + 4)

  x²/4 - 3x +5 = x²/4 - 16

-3x +5 =  -16

3x = 21

x = 7

 

3

(x+3)² = (x-5)(x+5)

x² + 6x +9 = x² - 25

6x = 16

x = -34/6 =  - 5 2/3

 

4

(x - 1/2)² = x² - 1/2

x² -x + 1/4 = x² - 1/2

-x = - 1/2 - 1/4

-x= -2/4 - 1/4

x=  3/4