SOLUTION: find two consecutive positive integers such that the sum of the first and the squares of the second is 19

SOLUTION: find two consecutive positive integers such that the sum of the first and the squares of the second is 19

Algebra.Com

Question 860008: find two consecutive positive integers such that the sum of the first and the squares of the second is 19
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
consecutive positive integers: x, (x+1)

x + (x+1)^2 = 19
x + x^2 + 2x + 1 = 19
x^2 + 3x - 18 = 0
(x + 6)(x - 3) = 0
x = -6, x = 3

x is positive, so the integers are 3 and 4.
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