if x= 2-√3, then find the value of {x-1/x}^3
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Step-by-step explanation:
x= 2 - root3
so x+1/x
=2 -root3 +1/2- root3
=[ ( 2-root3)^2 +1 ]/2-roo3
=( 4 - 4root 3 + 3 +1)/2-root3
=4 ( 2 -roo3)/2-root3
= 4 answer----------------------------------------------------------------------------------------------------------------------------------------------------------------------------- aalternately--------
x +1/x = (2-root3) +1/2-root3
= (2-root3) + (2+roo3)/( 2-root3) (2+root3)
=( 2-roo3) +( 2+root3)/4-1
= 2+2=4 answer
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Answer:
Step-by-step explanation:
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