Explained: "If A is a negative number, and B=0−A2...."

High School
Algebra
Pre-Algebra
Negative numbers and coordinate plane

Laney Spears

Answered question

2022-01-24

A

is a negative number, and

B = 0 - A^{2}

. Is

B

a negative number or a positive number?

Answer & Explanation

euromillionsna

Beginner2022-01-25Added 16 answers

A

is a negative imaginary number, with no real part, e.g.,

A = - i

, then

B

will be positive note that

A = \sqrt{- B}

and check section "Square roots of negative numbers" in the wikipage above for the fallacies that one must pay attention to when dealing with square roots of negative numbers

Hana Larsen

Beginner2022-01-26Added 17 answers

If we're dealing with real numbers, the square of any real number is always positive.(Check the graph of

y = x^{2}

). Since

B = - A^{2}, B

is destined to be negative.
On the other hand, if we're dealing with imaginary numbers (number is in the form of

k i

where

k \neq 0

k \in R

A^{2}

is, by definition, negative. This makes

B

forever positive.

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