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Nutka1998 [239]
3 years ago
6

(5 x 10^2)^−2 i dont get it

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0

Answer:-250,000

Step-by-step explanation:

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Step-by-step explanation:

If the roots are 1 + 5i and 1 - 5i, then you need the factors that result from those roots.  They are (x - 1 + 5i) and (x - 1 - 5i).  Now what you do with those is FOIL them out.  Doing that gives you the following:

x^2-x+5ix-x+1-5i-5ix+5i-25i^2 (what a mess, huh?)

The good thing is that several of those terms cancel each other out.  +5ix cancels out the -5ix; -5i cancels out the 5i; and the 2 -x terms combine to -2x.  That leaves you with:

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Obviously you're in the section in math that deals with complex (imaginary) numbers so you should know that i-squared is equal to -1.  Making that replacement:

x^2-2x+25

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