The product of two consecutive numbers is 182. What are the numebrs.

Given that the product of two consecutive numbers is
182.

Let us assume that the first number is
x.

Then, the next number will be
x+1.

We will rewrite the product of both
numbers.

==> x*(x+1) =
182

Let us open the
brackets.

==> x^2 + x =
182

==> x^2 + x - 182 =
0

Now we have a quadratic equation, we will use the formula
to find the roots.

==> x1= ( -1 + sqrt(1+4*182) /
2

            =(-1 + 27)
/2

            = 26/2 =
13

==> x1=
13

==> x2= (-1-27)/2 = -28/2 =
-14

==> x2= -14

Then
the numbers are:

13 and 14   OR  -13 and
-14.