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

-8 and -140

Step-by-step 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.

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step-by-step explanation:

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.