if x+1/x = 3 find x⁴+1/x⁴
Answers
Answered by
1
Step-by-step explanation:
x+1/x=3
taking square on both sides
(x+1/x)²=3²
x²+1/x²+2(x)(1/x)=9
x²+1/x²+2=9
x²+1/x²=9-2
x²+1/x²=7
again taking square on both sides
(x²+1/x²)²=7²
x⁴+1/x⁴+2(x²)(1/x²)=49
x⁴+1/x⁴+2=49
x⁴+1/x⁴=49-2
x⁴+1/x⁴=47
Answered by
0
Answer:
= 47
Step-by-step explanation:
Given:
= 3
Therefore, = + + 2
⇒ = + + 2
⇒ 9 = + + 2
⇒ + =7 __ 1
So,
=
⇒ (7)² =+ 2
⇒ 49 = + 2
⇒ = 47
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