2 years ago

X^3 - y^3 = 218 where x and y are positive integers. Find x+y

Mathematics

1 answer:

finlep [7]2 years ago

8 0

The value of x + y is 12

<h3>How to solve for x + y?</h3>

The equation is given as:

x^3 - y^3 = 218

Make x^3 the subject

x^3 = 218 + y^3

The next cubic expression greater than 218 is 343.

So, we assume

x^3 = 343

This gives

x = 7

Substitute x^3 = 343 in x^3 = 218 + y^3

343 = 218 + y^3

Evaluate the like terms

y^3 = 125

This gives

y = 5

So, we have:

x + y = 7 + 5

Evaluate

x + y = 12

Hence, the value of x + y is 12

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