Question

My dividend is 24. I am 2 more than my quotient. I have no remainder. what divisor am i?

Answer 1

divident =divisor × quotient + remainder
24= divisor ×(divisor-2)+0
d^2-2d-24=0
d=6 or -4
quotient is 4 of -6
so there are two possibilities, 6 or -4

Answer 2

The divisor can be 6 or -4.

Explanation:

Dividend = Divisor × Quotient + Remainder

Let the quotient be x.

The number or divisor = x +2

Remainder = 0

Dividend = 24

`24=(x+2)* x+0`

`x^2+2x-24=0`

Using middle term splitting :

`x^2+6x-4x-24=0`

`x(x+6)-4(x+6)=0`

(x-4)(x+6)= 0

if x = 4

Then ,Divisor = 4 + 2 = 6

if x = -6

Then ,Divisor = -6 + 2 = -4

The divisor can be 6 or -4.