Question

The divisor and the quotient of the number
6123 are same and the remainder is half the
divisor. Find the divisor. (Mar 16] [4 Marks]​

Answer 1

Answer =78
here is the answer

Answer 2

Answer:

Taking the positive value x = 78

Step-by-step explanation:

Dividend= 6123

Let divisor =x

Remainder= x/2

A.T.Q

Divisor= Quotient= x

Dividend= Divisor ×Quotient + Remainder

6123= x × x + x/2

6123= x^2 + x/2

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

6123×2= 2x^2 + x

12246= 2x^2+x

2x^2+x - 12246 = 0

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

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

(x-78) (2x + 157)

x-78=0

x=78

or

2x+157=0

2x= -157

x= -157/2

Hope it helps

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