What two numbers add to 7 and multiply to -44

The numbers are 11 and -4

Step-by-step explanation:

Given

Let the two numbers be and

such that:

Required

Find x and y

Make y the subject in:

Substitute in

Open bracket

Rewrite as:

Expand

Factorize

Factor out x + 4

Solve for x

Recall that:

So:

or

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10