Question

3х(в квадрате) +18=0

Answer 1

$3 {x}^{2} + 18 = 0 \\ 3 {x}^{2} = - 18 \\ {x}^{2} = - 6$

Так как выражение в квадрате не может быть равным нулю, то данное решение не имеет решения на множестве действительных чисел.

Комплексное решение:

$x = ± \sqrt{6} i$

Answer 2

To solve the quadratic equation $3x^2 + 18 = 0$, we first need to set the equation to equal zero:

$3x^2 + 18 = 0$

Now, we can divide the entire equation by 3 to simplify it:

$x^2 + 6 = 0$

Next, we can move the constant term (6) to the other side of the equation:

$x^2 = -6$

Finally, to solve for $x$, we can take the square root of both sides. Remember to consider both the positive and negative square roots:

$x = \pm \sqrt{-6}$

However, it is important to note that $\sqrt{-6}$ is not a real number because the square root of a negative number is imaginary. So, there are no real solutions for this equation. The solutions involve imaginary numbers, represented by $i$.

The final solution is:

$x = \pm i\sqrt{6}$