Find two consecutive even natural numbers such that the sum of their squares is 340.
Quadratic Equations
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Question

Find two consecutive even natural numbers such that the sum of their squares is 340.

KnowledgeBoat · Accepted Answer

Let the required two consecutive even integers be x , x + 2 Given, sum of squares of two consecutive even natural numbers = 340 Since the numbers are natural number so x ≠ -14 ∴ x = 12 , x + 2 = 14 Hence, required natural numbers are 12 , 14 .

Mathematics

Find two consecutive even natural numbers such that the sum of their squares is 340.

Quadratic Equations

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