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26-11-2016
Mathematics

Answered

Solve: 125x^3 + 343=0

Find all Complex Roots.

Verified Answer :

alsteva alsteva

29-11-2016

\(125x^3+343=0 \\(5x)^3+7^3=0 \\(5x+7)(25x^2-35x+49)=0 \\25x^2-35x+49=0 \\a=25,b=-35,c=49 \\ \\x_{1,2}= \frac{-(-35)\pm \sqrt{(-35)^2-4\times25\times49} }{2\times25}=\frac{35\pm \sqrt{-3675} }{50}=\frac{35\pm i\sqrt{3675} }{50}\)

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