What is the square root of -1
1 answer:
Answer:
i
Step-by-step explanation:
Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.
Also, a negative number times another negative number, is a positive number. -2 * -2 = 4
With both of those true, then what number could be multiplied by itself to equal a negative number? i.
i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to .
Hope that this helps!
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To solve this, we would need to figure out the values of for which an absolute value is negative. From basics, you should know that an absolute value is always greater than or equal to 0.
If we rearrange this equation a little bit, we get,
So <em>cannot </em>be negative. So,
For this to <em>have </em>a solution, k needs to be greater than or equal to .
For <em>no solution</em>, k is less than -5. So, values of k which will make the equation to <em>not </em>have any solution is .
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