Question

x=y=2z xyz=256 then x=?

Answer 1

We have, x = y = 2z

A/Q, xyz = 256

=> 2z × 2z × z = 256 (°.° x = y = 2z)

=> 4z³ = 256

=> z³ = 256 /4

=> z³ = 64

=> z = ³√64

=> z = 4


Therefore,
x = 2z
=> x = 2 × 4
=> x = 8



HOPE IT'LL HELP....:)

Answer 2

Hi Mate!!!!

x = y = 2z means x = 2z and y = 2z

Find = x

Given x×y×z = 256

Now, put value of x and y in above equation we have


2z × 2z × z = 256

4 z³ = 256

z³ = 256 / 4

z³ = 64

Taking cube root on both sides.

( z³ ) ⅓ = ( 64 )⅓

z = 4

Now put value of z in this equation ( x = 2z )

we get

x = 2 ( 4 )

x = 8


VERIFICATION:-

x × y × z = 256

x = 8 , y = 8 and z = 4

=>


8 × 8 × 4 = 256

256 = 256.

HENCE VERIFIED.



Have a nice time.