What numbers add up to 1 and multiplies to -2?

What is 2 added to -1

Thanks

19+0=

To find two numbers that add up to 1 and multiply to -2, we can use algebra.

Let's assume the two numbers are x and y.

According to the problem, we have two conditions:
1. The sum of x and y is 1: x + y = 1
2. The product of x and y is -2: x * y = -2

We now have a system of two equations with two variables. We can solve this system to find the values of x and y.

One approach is to isolate one variable in one equation and substitute it into the other equation. Let's solve for y in terms of x:

From equation 1: x + y = 1
Rearranging, we get: y = 1 - x

Now, substitute this value of y into equation 2 to get:
x * (1 - x) = -2

Expanding, we get: x - x^2 = -2

Rearrange this equation to form a quadratic equation:
x^2 - x - 2 = 0

Now we can solve this quadratic equation using factoring, completing the square, or the quadratic formula.

Factoring the quadratic equation, we get: (x - 2)(x + 1) = 0

Setting each factor to zero and solving gives us two potential values for x:
x - 2 = 0 => x = 2
x + 1 = 0 => x = -1

So, we have two potential values for x: x = 2 and x = -1.

Substituting these potential values into equation 1, we can find the corresponding values of y:

For x = 2, y = 1 - x = 1 - 2 = -1
For x = -1, y = 1 - x = 1 - (-1) = 2

Therefore, the two numbers that add up to 1 and multiply to -2 are -1 and 2.