Question

jak to zrobić?

Answer 1

1)

4(x^2-6x+9)-(4x^2-20x+25)≥ 2

4x^2-24x+36 - 4x^2+20x-25 ≥ 2

-4x ≥ 2-11

-4x ≥ -9   /:-4

x ≤9/4

x∈ (-∞  ,  9/4  >

2)

9(4/9x^2 -4x+9) < 1-4x+4x^2

4x^2-36x+81 +4x - 4x^2 < 1

-32x < -80    /:(-32)

x >  5/2

x∈ (5/2  ,  +∞)

Answer 2

4(x² - 6x + 9 ) - (4x² - 20x + 25) ≥ 2

4x² - 24x + 36 - 4x² + 20x - 25 ≥ 2

-4x ≥ 2 - 36 + 25

-4x ≥ -9

x ≤ 9/4

x ≤ 2 i 1/4

x ∈ (-oo, 2 i 1/4>

 

9(4/9x² - 4x + 9) < 1 - 4x + 4x²

4x² - 36x + 81 < 1 - 4x + 4x²

-36x + 4x < 1 - 81

-32x < -80

x > 80/32

x > 20/8

x > 5/2

x ∈ (2 i 1/2 ; + oo)