3
5
If x2 +
1
= 27, find the value of 3x3 + 5x –
x2
23
Answers
Answered by
2
Answer:
Which sign before 23?
Step-by-step explanation:
Your question is incomplete.
Answered by
8
Given : x² + 1/x² = 27
To find: 3x³ + 5x - 3/x³ - 5/x
Solution:
x² + 1/x² = 27
=> (x - 1/x)² + 2x(1/x) = 27
=> (x - 1/x)² = 25
=> (x - 1/x) = ± 5
3x³ + 5x - 3/x³ - 5/x
= 3(x³ - 1/x³) + 5(x - 1/x)
= 3(x - 1/x)(x² + 1/x² + x(1/x) + 5(x - 1/x)
= 3(x - 1/x)(27 + 1) + 5(x - 1/x)
= 84 (x - 1/x) + 5(x - 1/x)
= 89(x - 1/x)
using (x - 1/x) = ± 5
= ± 445
3x³ + 5x - 3/x³ - 5/x = ± 445 if x² + 1/x² = 27
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