The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25. By definition, zero is considered to be both real and imaginary.

Is zero real or imaginary number give reason?

The imaginary number is defined as a + bi = 0, where a=0 and b=real. zero is real, so zero is defined as imaginary if thats how we define 0i. Just as 5 is natural, rational, and real. Not all numbers belong exclusively to one set.

What is imaginary number to the power of 0?

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Hey, the explanation to your query is “any number other than 0 taken to the power 0 is defined to be 1”. So i=√-1, “i” here is a real number. So i^0=1. However, “zero to the power of zero” (or 0^0) is undefined.

What does an imaginary zero mean?

Complex zeros are values of x when y equals zero, but they can’t be seen on the graph. Complex zeros consist of imaginary numbers. An imaginary number, i, is equal to the square root of negative one.

Is real or imaginary number?

Essentially, an imaginary number is the square root of a negative number and does not have a tangible value. While it is not a real number — that is, it cannot be quantified on the number line — imaginary numbers are “real” in the sense that they exist and are used in math.

How do you know if zeros are real or imaginary?

Imaginary roots appear in a quadratic equation when the discriminant of the quadratic equation — the part under the square root sign (b2 – 4ac) — is negative. If this value is negative, you can’t actually take the square root, and the answers are not real.

What are real and imaginary zeros?

Explanation: Real roots can be expressed as real numbers. Imaginary roots are expressed in imaginary numbers, and the simplest imaginary number is i=√−1 . Most imaginary numbers can be expressed in the form ‘ a+bi where a and b are real numbers, but the whole number is imaginary because of the presence of i .