What is the answer to the expression when factoring it over the complex numbers?

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1 Answer
Alan P.
Oct 23, 2017

#x^2+50=(x+-sqrt(2)i)(x-5sqrt(2)i)#

Explanation:

#x^2+50#
then
#color(white)("XXX")=(x^2+(5sqrt(2))^2)#

#color(white)("XXX")=(x^2-(-(5sqrt(2))^2))#

#color(white)("XXX")=x^2-(5sqrt(2)i)^2#

...this is "the sum and difference of squares" form
#color(white)("XXX")=(x+5sqrt(2)i)(x-5sqrt(2)i)#

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