If x^4 +1/x^4 = 2 , Find the value of
(i) x^2 + 1/x^2
(ii) x+1/x
(iii) x^3 + 1/x^3
Answers
Answered by
2
Step-by-step explanation:
1. x⁴+1/x⁴=2
Adding 2 on both sides
→x⁴+1/x⁴+2=4
→(x²+1/x²)²=4
→x²+1/x²=√4=2
2. x²+1/x²=2
Adding 2 on both sides
→x²+1/x²+2=4
→(x+1/x)²=4
→x+1/x=√4=2
3. x+1/x=2
Cubing on both sides
→(x+1/x)³=8
→x³+1/x³+3(x+1/x)=8
→x³+1/x³+3(2)=8
→x³+1/x³=8-6=2
Similar questions
Science,
3 hours ago
Social Sciences,
3 hours ago
Math,
4 hours ago
Business Studies,
4 hours ago
English,
7 months ago
English,
7 months ago