Problema Solution
The sum of the squares of two consecutive integers is 181
Answer provided by our tutors
the consecutive integers can be written as
x and x + 1
where x is integer
x^2 + (x + 1)^2 = 181
by solving the equation we find 2 solutions (the quadratic equation has two roots)
x1 = 9
x2 = - 10
click here to see the step by step solution of the quadratic equation
there are 2 solution:
9 and 10 (indeed 9^2 + 10^2 = 181)
-9 and - 10 (indeed (-9)^2 + (-10)^2 = 181)