If x -1/x =√6 , then find the value of x2 +1/x2
Answers
Answered by
0
Answer:
8
Step-by-step explanation:
given:
squaring both sides:
= 8
Answered by
3
Answer :
The required value of x² + 1/x² = 8
Step-by-step explanation :
Given :
To find :
Identity :
(a - b)² = a² + b² - 2ab
Solution :
x - 1/x = √6
Squaring on both sides,
The required value of x² + 1/x² = 8
_______________________
Some algebraic identities :
(a + b)² = a² + 2ab + b²
a² – b² = (a + b)(a – b)
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
(a + b)³ = a³ + b³ + 3ab (a + b)
(a – b)³ = a³ - b³ – 3ab (a – b)
a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca)
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