Imaginary Numbers In Mathematics. So the square of the imaginary unit would be 1. An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i which is defined by its property i 2 1.
The imaginary unit or unit imaginary number i is a solution to the quadratic equation x 2 1 0 although there is no real number with this property i can be used to extend the real numbers to what are called complex numbers using addition and multiplication a simple example of the use of i in a complex number is 2 3i. We know that the quadratic equation is of the form ax 2 bx c 0 where the discriminant is b 2 4ac. So the square of the imaginary unit would be 1.
Can you take the square root of 1.
Algebra functions and imaginary numbers the key paradigm shifts i felt when learning math. An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i which is defined by its property i 2 1. Imaginary numbers also called complex numbers are used in real life applications such as electricity as well as quadratic equations. The classic way of obtaining an imaginary number is when we try to take the square root of a negative number like.