Question

The product of two consecutive even numbers is 7568

Answer 1

Answer:86,88

Step-by-step explanation:

Let the smallest no. be x

x × (x+2) = 7568

x^2+2x = 7568

x^2+2x-7568 = 0

This is a quadratic equation, so by factorsing the middle term we get :

x^2+88x - 86x -7568

x(x+88) - 86(x+88)

(x-86) (x+88)

Therefore

X= -88, 86

Since the number be -ve

Therefoe x= 86

So the other no. is 86+2=88