The product of two consecutive negative integers is 1122. What are the numbers? The product of two consecutive negative integers is 1122. What are the numbers? @Mathematics

Question

bahrom7893 · Answer

x*(x-1)=1122

campbell_st · Answer

well the integers are - x and -(x+1) 

so there product is 

$$-x \times -(x +1) = 1122$$

or 

$$x^2 - x - 1122 = 0$$

solve the quadratic 

using the general quadratic formula 

$$x = \frac{1 \pm 67}{2}$$

so x = - 33

the other integer is -(33 + 1) = -34

so your numbers are -33 and -34