What two numbers multiple to get -12 and add to -5

Original question: What two numbers multiply to get -12 and add to -5.

Pairs of numbers (1.772, -6.772) and (-6.772, 1.772).

Step-by-step explanation:

Let and be the two numbers, the we know that

(1).

and

(2).

We solve for in equation(2) and substitute this into equation(1)

This is a quadratic equation, and its solutions are

we substitute these two solutions into equation(1) and find the corresponding values:

Thus we have two pairs of numbers which multiply to give -12 and add to give -5

and

10 * 563.67 = 5636.7

answer: the equation matches the regression

step-by-step explanation: