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What are the solutions of the equation x6 – 9x3 + 8 = 0? Use u substitution to solve. x = –1 and x =...
4 months ago
Q:
What are the solutions of the equation x6 – 9x3 + 8 = 0? Use u substitution to solve. x = –1 and x = –2 x = 1 and x = 2
Accepted Solution
A:
let u=x^3
the original equation becomes: u^2-9u+8=0
factor this quadratic equation: (u-8)(u-1)=0
u=8, or u=1
that means x^3=8 or x^3=1
x=2 x=1