SOLUTION: Find all the real solutions of the equation by first rewriting the equation as a quadratic equation. (Enter your answers as a comma-separated list.) x6 + x3 − 6 = 0

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Find all the real solutions of the equation by first rewriting the equation as a quadratic equation. (Enter your answers as a comma-separated list.) x6 + x3 − 6 = 0       Log On

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Question 623060: Find all the real solutions of the equation by first rewriting the equation as a quadratic equation. (Enter your answers as a comma-separated list.)

x6 + x3 − 6 = 0
Answer by ankor@dixie-net.com(15647) About Me  (Show Source):
You can put this solution on YOUR website!
x^6 + x^3 − 6 = 0
can be factored to
(x^3 - 2)(x^3 + 3) = 0
two solutions
x = 3sqrt%282%29. that's cube root of 2
,
x = 3sqrt%28-3%29 the cube root of -3