If x=27 and ³√x+³√y=³√729 then y=?
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Answer:
Required value of y is 216.
Step-by-step explanation:
It is given that the value of x is 27. Also, ∛x + ∛y = ∛729.
Substituting the numeric value of x in ∛x + ∛y = ∛729.
= > ∛27 + ∛y = ∛729
= > ∛( 3 x 3 x 3 ) + ∛y = ∛( 9 x 9 x 9 )
= > ∛( 3^3 ) + ∛y = ∛( 9^3 )
= > 3^( 3 x 1 / 3 ) + ∛y = 9^( 3 x 1 / 3 )
= > 3^( 1 ) + ∛y = 9^( 1 )
= > 3 + ∛y = 9
= > ∛y = 9 - 3
= > ∛y = 6
= > y = 6^3
= > y = 216
Hence the required value of y is 216.
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abhi569:
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yes
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