Question

Determine a pair of integers whose product is -24 and sum is -2.
(Hint: Determine all the pairs whose product is 24 and out of those check whose sum is -2)
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Answer 1

Let xy =24 …(1)

and, x+y=-2 …(2)

=> x = -(2+y)

Put the value of x in (1).

-(2+y)y =24

-2y - y² =24

y²+2y+24=0

Solve this quadratic eqⁿ and you will get the answer