What adds to 11 and multiplies to -60?

Answer 1

-49

Answer 2

15 and -4.

to solve this, set up a systems of equations

a + b = 11

a * b = -60

according to the first equation, a = 11 - b, which you can get from subracting b on both sides.

then, substitute this value into a in the second equation.

(11 - b) * b = -60

simplify and move the -60 to the other side.

you will be left with

b(squared) - 11b - 60 = 0.

this can simplify into

(b-15)(b + 4) = 0.

the left side of the equation will only equal 0 when is 15 or -4. therefore, those are the correct answers.