Question

PLEASE ANSWER IT FAST GUYS . I WILL GIVE YOU 30 POINTS.....

Answer 1

Given Dividend = 6123

Given that divisor = remainder.

Let the divisor be x, then the remainder will also be x.

Given that remainder is half the divisor = x/2  ------ (1) 


We know that Dividend = Divisor * Quotient + Remainder

6123 = x * x + x/2

It can be written as,

$6123 = \frac{x^2}{1} + \frac{x}{2}$

6123 = 2x^2 + x/2

6123 * 2 = 2x^2 + x

12246 = 2x^2 + x

2x^2 + x - 12246 = 0

2x^2 - 156x + 157x - 12246 = 0

2x(x - 78) + 157(x - 78) = 0

(2x + 157)(x - 78) = 0

x = -157/2 (or) x = 78
.
Since x cannot be -ve, so x = 78.


Therefore the divisor = 78.


Hope this helps!

Answer 2

Hi,


Please see the attached file!


Thanks