Question

the sum of square of 3 even factorial number is 200. find the numbers
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Answer 1

Answer:

let the numbers be x²,x+2²,x+4²

sum =200

According to question

(x)²+(x+2)²+(x+4)²= 200

x²+x²+4+x²+16 = 200

3x²+20 =200

3x²=200-20 =180

x²=180/3=60

x²=60

so the numbers are

(x)²= 60

(x+2)² = x²+4= 60+4 = 64

(x+4)² = x²+16 = 60+16 = 76

verify

60+64+76=200

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