SOLUTION: 6X^6+x^3=15 solve for X

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Question 211: 6X^6+x^3=15
solve for X
Answer by ichudov(499) About Me  (Show Source):
You can put this solution on YOUR website!
What this really is is a quadratic equation. Note that x%5E6+=+x%5E3%5E2 (see lesson on logarithms). So, replace x%5E3 with y. You will have: 6%2Ay%5E2%2By-15=0. Solve it for y, you can use my quadratic solver on this website which will show work. Once you get y, solve equation x%5E3+=+y, which means take third root of y.