Solve for X and K
Algebra
Level
2
Solve for
such that
It is given that x is an integer greater than 0.
Hint : 10007 is a prime number.
The answer is 5003.
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1 solution
X^2 + 10007 = K^2
10007 = ( K+X)*(K-X)
As 10007 is a prime number its two factors are 10007 and 1. Follows that as K+X is greater than K-X
K+X = 10007 and K-X = 1
Solving for X yields 2*X = 10006 or X = 5003.