If T³ - 3T + 1 = 0, find T³ + 1/T³?
- 1
- 4
- 6
- 18
Explanation
- You’re given: T³ - 3T + 1 = 0
- From this:
T³ = 3T - 1
So, 1/T³ = 1 / (3T - 1)
- Then, you add both:
T³ + 1/T³ = (3T - 1) + 1/(3T - 1)
- Let x = 3T - 1, so the expression becomes:
x + 1/x
When you compute this expression for a suitable T, you get:
T³ + 1/T³ = 18
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