Question

The product of two integers is -144 and sum of the integers is -7. Find the smallest number.
(A) 10
(B) -10
(C) -16
(D) 16
Plz give the answer with step by step method. ​

Answer 1

Step-by-step explanation:

let the 2 integers be a and b

so ab= -144

a+b= -7

a= -144/b

then,

-144/b+b= -7

-144+b*2= -7b

b*2 +7b -144

=b*2+16b-9b-144

=b(b+16)-9(b+16)

=(b-9)(b+16)

therefore b=9 and a= -16

therefore smallest number is -16

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