Question

solve $y^2 = -144$, where $y$ 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\.

Explanation:

Step1: Recall the property of real numbers

For any real number \( y \), the square of \( y \), i.e., \( y^{2} \), is always non - negative. That is, \( y^{2}\geq0 \) for all real numbers \( y \).

Step2: Analyze the given equation

The given equation is \( y^{2}=- 144 \). But we know that \( - 144<0 \). Since the square of a real number can never be negative, there is no real number \( y \) that satisfies the equation \( y^{2}=-144 \).

Answer:

No solution