Problema Solution
two consecutive integers are added. the square of the sum is 361. what are the integers?
Answer provided by our tutors
et x and x+1 are the two consecutive integers
The square of the sum is 361:
(x + x + 1)^2 = 361
by solving we find:
x1 = 9
x2 = -10
click here to see the step by step solution of the equation:
9 + 1 = 10, and for 9 and 10 we have
(9 + 10)^2 = 361
-10 + 1= -9 and for -9 and -10 we have
(-9 +(-10))^2 = (-19)^2 = 361
there are two pairs of such consecutive integers: 9 and 10; -9 and -10.