Question

Simplify xi(I-7i) ^2

Answer 1

Note what i actually represents.
i is the very basis of a whole new level of counting. When finding discriminants, we often say that a quadratic has no real roots if the discriminant is 0. Needless to say, there are roots, they are just imaginary.

$\sqrt{-1}$, in real terms, is non-existent. That is, there are no numbers in the real number system that when multiplied by itself produces a result of -1. This is what i unit represents.

Let's tackle this problem in smaller steps.
Let's first expand our brackets.

(i - 7i)² = (-6i)² = 36i²
Now, let's distribute the xi.

xi(i - 7i)² = xi(36i²) = 36xi³ = $-36x\sqrt{-1}$ = -36xi

Answer 2

A simplified form of given imaginary expression is $\bold{xi(i-7i)^{2}=-36xi}$

What is imaginary unit?

"An imaginary unit is number √(-1)"

What is an imaginary number?

"It is a number which is result of multiplication of real number by imaginary unit."

For given example,

Given : xi(i - 7i)²

We need to simplify given imaginary expression.

$xi(i - 7i)^{2}\\\\=xi\times (i^{2} - (2\times i\times 7i)+(7i)^{2})\\\\=xi\times[-1-(14i^{2})+49i^{2}]\\\\=xi\times[-1-(14\times (-1))+(49\times (-1))]\\\\=xi\times(-1+14-49)\\\\=xi\times (-36)\\\\=-36xi$

Therefore, $\bold{xi(i-7i)^{2}=-36xi}$

Learn more about imaginary numbers here:

https://brainly.com/question/6748860

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