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Karla Hunt
Mathematics
4 May, 11:58
X+4 divided by x^2+16
Why can't it be simplified?
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Audrina Noble
4 May, 12:19
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Let's try to simplify x^2 + 16. It's a sum of two squares:
x^2 + 16 = 0
x^2 = - 16
The problem is, we can't take a square root of a negative. This is where imaginary numbers come in.
Remember that square roots have a plus or minus symbol outside:
±√-16 = ±4i
Our two roots are 4i and - 4i. Therefore, the trinomial simplifies to:
(x + 4i) (x - 4i)
If we attempt to divide x + 4 by these two binomials, we will find that 4 and 4i are not like terms. Therefore, we can't simplify this expression.
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