Question

the product of two consecutive integers is 56 . find the integers​

Answer 1

Answer:

Let consecutive integers be x,x+1

According to question,

(x)(x+1) = 56

x^2+x=56

x^2 + x -56 = 0

x^2 + 8x - 7x - 56 =0

x(x+8) -7(x+8) = 0

(x+8)(x-7) = 0

Either x = -8 OR 7

So another integer will be -7 OR 8 as we add 1 to x