sada siva

5y ago

x3+y3+z3=8072. x:y=y:z::3:2 y=?

4

sada siva 5y ago

xyz are positive integers

sagar sharma 5y ago

x/y = 3/2 x = y*3/2 x3 = y3 * 27/8 ----- 1 y/z = 3/2 z = y*2/3 z3 = y3 * 8/27 ------2 put 1 and 2 in given eqn y3 * 27/8 + y3 + y3 * 8/27 = 8072 y3 * (1009/216) = 8072 y3 = 8072*216/1009 y3 = 8*216 y = 2/6 y = 1/3

Neeraj Jaiswal 5y ago

x:y=y:z=3:2 Hence, x:y:z=9:6:4 Given- x3+y3+z3=8072 Put the value of x,y,z by assuming x=9a, y=6a, z=4a Understand na bro {(9a)3+(6a)3+(4a)3=8072 729a3+216a3+64a3=8072 1009a3=8072 a3=8 a=2 Hence, x=9a=18, y=6a=12, z=4a=8.

Neeraj Jaiswal 5y ago

Understand na bro. I think this is correct

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