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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

There are 2 methods to do this sum. ========================================================== 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. =========================================================== 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.