Respuesta :
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
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:
The divisor can be 6 or -4.
Step-by-step explanation:
Dividend = Divisor × Quotient + Remainder
Let the quotient be x.
The number or divisor = x +2
Remainder = 0
Dividend = 24
[tex]24=(x+2)\times x+0[/tex]
[tex]x^2+2x-24=0[/tex]
Using middle term splitting :
[tex]x^2+6x-4x-24=0[/tex]
[tex]x(x+6)-4(x+6)=0[/tex]
(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.
