Question

Rozwiąż nierówność:
4²-(2x-1)²>6x-(2x+3)(2x-3)
(Prosze o dokładne obliczenia!;)

Answer 1

4²-(2x-1)²>6x-(2x+3)(2x-3)
16-(2x)²-2*2x*1+1²>6x-(2x)²-3²
16-4x²-4x+1>6x-4x²-9 |+4x²
17-4x>6x-9 |-17
-4x>6x-26 |-6x
-10x>-26 |/-10
x<2,6

Answer 2

4²-(2x-1)²>6x-(2x+3)(2x-3)
16-4x+1>6x-(4x-6x+6x-9)
16-4x+1>6x-4x+6x-6x+9
16+1-9>4x+6x-4x+6x-6x
8>6x /:6
x<1,3

Answer 3

4²-(2x-1)²>6x-(2x+3)(2x-3)
16 - (2x² - (2*2x*(-1)) + 1²) > 2x² - 3²
16 - (2x² - (-4x) + 1) > 2x² - 3²
16 - (2x² + 4x +1) > 2x² - 9
2x² + 4x - 2x² > -16 + 9
4x > 7
x > 1,75
x < -1,75