Question

the product of two consecutive numbers is 306 . Find the integers

Answer 1

Let the first integer be x
Then, the consecutive integer=x+1
Quadratic equation thus formed
=x(x+1)=306
=x^2+x-306=0

Answer 2

Answer:

X= 17,

X+ 1 =-18

Step-by-step explanation:

Let first integer = x

Let second integer = x+1

x (x + 1) = 306

x² + x - 306 = 0

Comparing on both sides

x² + 18x - 17x - 306 = 0

x (x + 18) - 17(x + 18) = 0

(x + 18)(x - 17) = 0

x = 17

X+1= -18

Therefore ,

Let first integer = x

= 17

Let second integer = x+1

= 17+1

=-18.