Question

What two number multiply to -132 and add to -1

Answer 1

The two numbers can be -12 and 11, or 11 and -12.

Explanation:

xy=-132

x+y=-1

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x=-1-y

(-1-y)y=-132

-y-y^2=-132

-y^2-y-(-132)=0

-y^2-y+132=0

y^2+y-132=0

factor out the trinomial,

(y-11)(y+12)=0

zero property,

y-11=0, y+12=0,

y=0+11=11,

y=0-12=-12

x+11=-1 & x+(-12)=-1

x=-1-11=-12

x=-1-(-12)=-1+12=11