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Lady_Fox [76]
3 years ago
13

Simplify xi(I-7i) ^2

Mathematics
2 answers:
topjm [15]3 years ago
8 0
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
never [62]3 years ago
8 0
FOIL out inside the parenthesis to get a number, -36. Then multiply that by xi to get -36xi
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