# The square of the first added to twice the second is 5, what are the two integers?

##### 2 Answers

There are an infinite number of solutions, the simplest and only positive integer solutions being 1 and 2.

#### Explanation:

For any

let

and

Then:

If they are supposed to be **consecutive** integers, then the solution with negatives is the first is

The positive solution is: first is

#### Explanation:

Assuming that these are supposed to be consecutive integers and the lesser integer is the first, then we can use:

first =

The square of the first is

(Note that this is **not** a linear equation. It is quadratic.)

Solve:

If we check the answer, we get

#(-3)^2+ 2(-2) = 9+(-4)=5#

If we check this answer, we get

#(1)^2+2(2) = 1+4 =5#