Question

solve $x^2 = -49$, where $x$ is a real number. simplify your answer as much as possible. if there is more than one solution, separate them with commas. if there is no solution, click on
o solution\. $x = $

Explanation:

Step1: Recall the property of real numbers

For any real number \( x \), the square of \( x \) (i.e., \( x^2 \)) is always non - negative. That is, if \( x\in\mathbb{R} \), then \( x^2\geq0 \).

Step2: Analyze the given equation

We are given the equation \( x^2=- 49 \). But we know that the left - hand side \( x^2 \) (for real \( x \)) is greater than or equal to 0, and the right - hand side \(-49\) is less than 0. There is no real number \( x \) such that when we square it, we get a negative number.

Answer:

No solution