How many real solutions does the equation have? K^2=-89

0 real solutions

Step-by-step explanation:

This problem can be solved by simply looking at the sign in front of 89. Since it is a negative, nothing squared can equal it.

In other words, when a number is squared, the product will never be negative. This is because even when two negatives are multiplied by each other, the negatives cancel each other out.

Examples:

2^2 = 4

-2^2 = 4 (not - 4)