The sum of the two squares of the two consecutive even natural numbers is greater than 7 times their sum by 2. Find these numbers ?
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Answered by
2
The numbers are 20,30,40,60
Answered by
1
Answer:
6,8
Step-by-step explanation:
1st number = x
2nd number = x+2
x^2 + (x+2)^2 = 7(x+x+2) + 2
2x^2 + 4x + 4 = 14x + 16
2x^2 - 10x - 12 = 0
Simplifying it, we get
x^2 - 5x - 6 = 0
x^2 -6x +x -6 =0
(x+1)(x-6)
x = -1, 6
as the number should be even and positive
therefore x = 6
and second number is x +2 = 8
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