SOLUTION: Good evening guys Here is the question x^2 Given f(x) = ______, find f(1-i sqrt2) 2-x I replaced t

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Question 284084: Good evening guys
Here is the question
x^2
Given f(x) = ______, find f(1-i sqrt2)
2-x
I replaced the x variable with the given value and subtracted like terms
For an answer I get -7-5i sqrt2 / 3 The slash represents the division symbol _____

Any help is welcome! Thank you!

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
f(x)=x^2/(2-x)
f(1-i*sqrt(2))
=(1-i*sqrt(2))^2/(2-(1-i*sqrt(2)))
= (-1-2sqrt(2)i)/(1+i*sqrt(2))
= (-1-2sqrt(2)i)/(1+i*sqrt(2)) * (1-i*sqrt(2))/(1-i*sqrt(2))
= (-1-2sqrt(2)i)(1-i*sqrt(2))/3
=(-5-sqrt(2)i)/3
.
Ed

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