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Tresset [83]
3 years ago
8

Factor the expression over the complex numbers. x^2+50

Mathematics
2 answers:
dalvyx [7]3 years ago
8 0
Let x^2+50=0 

solve for x first. 

x^2=-50 
x=+-√-50 

Write that as a complex number

x=+-√50i 

x=√50i    or     x=-√50i

Hope I helped :) 
Rama09 [41]3 years ago
6 0

Answer:

(x+5\sqrt{2}i)(x-5\sqrt{2}i)

Step-by-step explanation:

The factorization is in the form (x-a)(x-b) where a,b are zeros of the equation x^{2} +50=0.

x^{2} =-50

x =\sqrt{-50}

x =\sqrt{50}i = 5\sqrt{2}i and x =-\sqrt{50}i = -5\sqrt{2}i

So, the factorization is (x+5\sqrt{2}i)(x-5\sqrt{2}i)

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