Question

The product of two consecutive odd numbers is 12099. find the greatest number.

Answer 1

Keep smiling.......
It is may be correct ..may be wrong calculation

Answer 2

Answer:

The greatest number is 111 or - 109

Step-by-step explanation:

Given :The product of two consecutive odd numbers is 12099.

To Find :find the greatest number.

Solution:

Let the two consecutive odd numbers be (2x+1) and (2x+3)

Now we are given that The product of two consecutive odd numbers is 12099.

So, $(2x+1) \times (2x+3) =12099$

$4x^2+6x+2x+3=12099$

$4x^2+8x+3=12099$

$4x^2+8x+3-12099=0$

$4x^2+8x-12096=0$

$4(x-54)(x+56)=0$

$(x-54)(x+56)=0$

$x=54,-56$

when x = 54

Numbers are : 2x+1 =2(54)+1 =109 and 2x+3=2(54)+3=111

So, the greatest number is 111

when x = -56

Numbers are : 2x+1 =2(-56)+1 =−111 and 2x+3=2(-56)+3=-109

So, the greatest number is -109

Hence the greatest number is 111 or - 109