Question

What numbers multiply together to make 1120 but add to be -148

Answer 1

-8 and -140

Explanation:

Let the numbers be x and y. Then xy = 1120, and x + y = -148.

Solving the first equation for y, we get 1120/x.

Substituting this into the second equation: x + 1120/x = -148

Multiplying all terms by x removes x from the denominator(s):

x² + 1120 + 148x = 0.

Let's use the quadratic formula to find x. Here a = 1, b = 148 and c = 1120.

Then the discriminant is b²-4ac, or, in this case, 148²-4(1)(1120) = 17424. Because this discriminant is positive, we have two real, unequal roots.

They are:

-148 ± √17424

x = ------------------------ = -8 and -140.

2

Note that -8 and -140 add up to -148, so that's correct.

(-8)(-140) = 1120, so that also is correct.

Answer 2

-140 and -8.

Explanation:

1. -140 x -8 = 1,120.
2. -140 + -8 = -148.

These are all of the steps to completely and correctly solve this question.

Hope this helps!!!

Kyle.