Question

Решите пожалуйста, если можно с объяснениями x^2+36<0

Answer 1

Обычное такое неравенство, не имеющее решений.
Это парабола со сдвигом вверх на 36.
Т.к старший коэффициент этой параболы положителен (а= 1) то точек пересечения с осью абсцисс она не имеет.
Записывается это вот так:
ОДЗ:
х^2 > 0;



х^2 < -36;
х не имеет действительных корней.

Удачи ;)

Answer 2

Solving the inequality x^2 < 36

To solve this inequality, we first need to understand what it is asking. The inequality x^2 < 36 means that we want to find all values of x such that x squared is less than 36.

To solve it, we take the square root of both sides:

√(x^2) < √36 |x| < 6

Therefore, the solution set is -6 < x < 6.

We can verify this solution set graphically. If we sketch the graph of y = x^2, we see that it is always positive and increasing. The value of 36 corresponds to the point (6, 36), so all values of x between -6 and 6 will produce a value of x^2 that is less than 36.

I hope this explanation helps provide insight into how to solve this inequality step-by-step. Let me know if you have any other questions!