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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.
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