Solve the equation $x+a^3=\sqrt[3]{a-x}$ where a is real parameter.
My solution:
By observation, note that $x=a-a^3$ is a real solution for the equation $x+a^3=\sqrt[3]{a-x}$.
Showing posts with label complex roots. Show all posts
Showing posts with label complex roots. Show all posts
Solve for all 6 complex roots of the equation $x^6+10x^5+70x^4+288x^3+880x^2+1600x+1792=0$ (Heuristic Solution)
Solve for all 6 complex roots of the equation $x^6+10x^5+70x^4+288x^3+880x^2+1600x+1792=0$.
My solution:
My solution:
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