Prove That the Equation $2 x ^ { 2 } + y ^ { 2 }$

question 173

Essay

Prove that the equation $2 x ^ { 2 } + y ^ { 2 }$ =14 has no positive integer solutions.

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Definitions:

Overhead Allocations

The process of distributing indirect costs to various cost objects, such as products or departments, to accurately reflect expenses.

Indirect Labor

Labor costs associated with employees who assist in the production process but do not work directly on the product, like maintenance staff or supervisors.

Factory Utilities

Costs associated with the utilities consumed in the production process, such as electricity, gas, and water.

Overhead Allocation Base

A measure or criteria used to distribute indirect costs to various products, services, or departments based on their usage or consumption.