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Write the quotient in standard form: f (x) = 5+i / 5−i

Question

Write the quotient in standard form: f (x) = 5+i / 5−i

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Step 1

we are given a complex value as

 

5+ i
f (x)
5-i
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5+ i f (x) 5-i

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Step 2

For simplifying it , we can rationalize it

and for rationalizing it , we can multiply conjugate of denominator on both top and bottom

 

Step 3

We can distribute and then we can si...

f (x)= (5+1)x(5+i
(5-i)(5
(5 )x(5
(5-i)5+i)
25+5i+5i
2
25 5i-5i i
f(x)= 2510i+i
25-i
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f (x)= (5+1)x(5+i (5-i)(5 (5 )x(5 (5-i)5+i) 25+5i+5i 2 25 5i-5i i f(x)= 2510i+i 25-i

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Math

Algebra

Complex Numbers

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