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## Answers

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1:Trial and error method.

By this method , we find that the numbers are -5 and +6.

Since the product is -ve and the sum is +ve the numbers must be 1 negative and the other positive respectively such that the +ve number's absolute value is greater than the -ve number's.Such numbers are -5 and +6.

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2. Algebraic method.

Let the 2 numbers be x and y.

Therefore , x+y=1 and xy=-30

since x+y=1,y=1-x , right?.

Therefore, xy can be written as

x(1-x).

Given x(1-x)=-30

or,x-x²=-30

or,x²-x-30=0

or,x²+5x-6x-30=0

or,x(x+5)-6(x+5)

or,(x-6)(x+5)=0

either x-6=0 or x+5=0

either x=6 or x=-5

Since for the value of x the value of y will also change,

The numbers are -5 and +6.

__Ans:The numbers are -5 and +6.__