Question

If x : y : z =1 : 2 : 3 and x^2 + y^2 + z^2 = 224 then the value of x^3 + y^3 + z^3 is solve

Answer 1

Answer:

Answer for Above question

Answer 2

Given,

x: y: z =1: 2 : 3

x^2 + y^2 + z^2 = 224

To find,

The value of x^3 + y^3 + z^3.

Solution,

We can simply solve this mathematical problem using the following process:

According to the question,

x: y: z =1: 2 : 3

=> let us assume that; x = k, y = 2k, z = 3k

Now, according to the question;

x^2 + y^2 + z^2 = 224

=> (k)^2 + (2k)^2 + (3k)^2 = 224

=> k^2 + 4k^2 + 9k^2 = 224

=> 14k^2 = 224

=> k^2 = 224/14 = 16

=> k = +-4

Now,

x^3 + y^3 + z^3

= (+-4)^3 + (+-4×2)^3 + (+-4×3)^3

= (+-4)^3 + (+-8)^3 + (+-12)^3

= (+-64) + (+-512) + (+-1728)

= +-2304

Hence, the value of x^3 + y^3 + z^3 is equal to +-2304.