Yuii
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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Factor the expression over the complex numbers.

x2 + 50

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE Factor the expression over the complex numbers x2 50 class=

Respuesta :

konrad509

[tex]x^2+50=\\\\x^2-(-50)=\\\\ (x-\sqrt{-50})(x+\sqrt{-50})=\\\\ (x-5i\sqrt2)(x+5i\sqrt2)[/tex]

gmany

[tex]Use\\\\a^2-b^2=(a-b)(a+b)\\\\i=\sqrt{-1}\to i^2=-1\\\\x^2+50=x^2-(-1)(50)=x^2-50i^2=x^2-2\cdot25i^2\\\\=x^2-2\cdot5^2i^2=x^2-2(5i)^2\\\\=x^2-(\sqrt2)^2(5i)^2=x^2-(5i\sqrt2)^2\\\\=(x-5i\sqrt2)(x+5i\sqrt2)=(x-5\sqrt2i)(x+5\sqrt2i)[/tex]

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