Question

Решите уравнение 2x^2+3=0

Answer 1

Ответ:

Решения нет.

Так как число в степени 2 не может быть  со знаком -.

x^2=-1,5

Объяснение:

2x^2=-3

x^2=-1,5

Answer 2

$2x^2+3=0\\2x^2=-3\\x \in \emptyset$

ур-е не имеет действительных корней

Answer 3

To solve the quadratic equation 2x^2 + 3 = 0, we can use the quadratic formula, which states that for an equation in the form ax^2 + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b^2 - 4ac)) / 2a

In our case, a = 2, b = 0, and c = 3. Now, let's plug these values into the formula:

x = (-(0) ± √((0)^2 - 4 * 2 * 3)) / (2 * 2) x = (0 ± √(0 - 24)) / 4 x = (0 ± √(-24)) / 4

Since the discriminant (the expression inside the square root) is negative (-24), the quadratic equation has complex solutions. We can simplify the equation as follows:

x = ±√(24)i / 4 x = ±(√24 / 4)i x = ±(√6)i

So, the solutions to the equation 2x^2 + 3 = 0 are:

x = (√6)i and x = -(√6)i