Waht adds to give you -2 but multiplies to give you 3

- Over the real numbers there are no numbers to add to -2 and multiply to 3

- Over the complex set of numbers, the numbers that add to -2 and multiply to 3 are

Step-by-step explanation:

Let and be the numbers.

We know that they add to -2, so equation (1).

We know that they multiply to 3, so equation (2).

To find our numbers, let's solve our system of equations step-by-step:

Step 1. Solve for in equation (1):

equation (3)

Step 2. Replace equation (3) in equation (2) and solve for :

Using the quadratic formula with a=-1, b=-2, and c=-3 we get that

equation (4)

equation (5)

As you can see, the system of equation doesn't have a solution over the reals, but if you need a complex answer, let's keep on.

Step 4. Replace equations (4) and (5) in equation (3) and solve for :

- For

- For

The solutions of our system of equations are:

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk