Question

0,01x( в квадрате)-9>0 решить неравенство

Answer 1

0,01х^2 - 9 > 0
0,01х^2 > 9
х^2 > 900
х > 30.
Ответ : от 30 до + бесконечности.
Удачи)))

Answer 2

0,01x^2-9>0

0,01x^2>9

x^2> 9/0,01

x^2> 900

x^2-900>0

(x-30)(x+30)>0

x1=30  x2=-30

Ответ: (- oo ; -30) U ( 30: + oo)

Answer 3

To solve the inequality $0.01x^2 - 9 > 0$, follow these steps:

Step 1: Move all terms to one side of the inequality, so that one side is zero. $0.01x^2 - 9 > 0 \Rightarrow 0.01x^2 > 9$

Step 2: Divide both sides by 0.01 to isolate $x^2$. $x^2 > \frac{9}{0.01}$

Step 3: Simplify the right side of the inequality. $x^2 > 900$

Step 4: Take the square root of both sides. Don't forget to consider both positive and negative square roots. $x > \sqrt{900}$ or $x < -\sqrt{900}$

Step 5: Calculate the square root. $x > 30$ or $x < -30$

The solution to the inequality is: $x > 30$ or $x < -30$.