if x power 4 + 1/x power4=623,then x+1/x= ?
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Answered by
11
take x+1/x ki whole power 4 and expand the formula you get answer 5.
Answered by
34
Hi ,
x⁴ + 1/x⁴ = 623 ---( 1 )
Add 2 both sides of the equation
( x² )² + ( 1/x² )² + 2 = 623 + 2
( x² + 1/x² )² = 625
x² + 1/x² = √ ( 25 )²
= 25 ---( 1 )
Add 2 both sides of equation ( 2 ),
x² + 1/x² + 2 = 25 + 2
( x + 1/x )² = 27
x + 1/x = √27
= 3√3
I hope this helps you.
:)
x⁴ + 1/x⁴ = 623 ---( 1 )
Add 2 both sides of the equation
( x² )² + ( 1/x² )² + 2 = 623 + 2
( x² + 1/x² )² = 625
x² + 1/x² = √ ( 25 )²
= 25 ---( 1 )
Add 2 both sides of equation ( 2 ),
x² + 1/x² + 2 = 25 + 2
( x + 1/x )² = 27
x + 1/x = √27
= 3√3
I hope this helps you.
:)
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