If x+1/x = 15, find the value of x2+1/x2.
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Sol:
x + 1 x = 7
⇒ (x + 1 x )2 =(7)2
⇒ (x2+ 1 x 2 + 2) = 49
⇒ x2+ 1 x 2 = 47
Therefore, x2+ 1 x 2 = 47.
x + 1 x = 7
⇒ (x + 1 x )2 =(7)2
⇒ (x2+ 1 x 2 + 2) = 49
⇒ x2+ 1 x 2 = 47
Therefore, x2+ 1 x 2 = 47.
Answered by
0
Answer:
Given :
( x + 1 /x ) = 5
We need to find x2 + 1 / x2
( x + 1 / x )2 = 25
= x2 + 1 / x2 + 2 (x)(1/x) = 25
= x2 + 1/x2 + 2 = 25
= x2 + 1 / x2 = 25 – 2
= x2 + 1 / x2=23
Hence x2 + 1 / x2 = 23
Step-by-step explanation:
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