Question

the sum of squares of 2 consecutive even numbers is 340 Find the numbers .


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Answer 1

Answer:

12² and 14²

Step-by-step explanation:

12² +14²

=144+196

=340

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Answer 2

$\huge\underline\bold\purple{Solution}$

Let the number be x

x² + (x+2)² = 340

x² + x²+4+4x = 340

2x² +4x +4 = 340

2x² + 4x - 336 = 0

Dividing by 2

x² + 2x - 168 = 0

x² + 14x - 12x -168 =0

x (x+14)-12(x+14)= 0

(x+14)(x-12) = 0

x = -14, 12