Question

The divisor and qutient of the number 6123 are same andthe remainder is half of the divisor. Find the divisor.

Answer 1

What is the square root of 6123?

Answer 2

6123/x = x + (1/2)x/x
times x
6123 = x^2 + (1/2)x
times 2
2x^2 + x - 12246 = 0
(x - 78)(2x + 157) = 0

x = 78 or x = -157

check:
6123/78 = 78 + remainder of 39 , which is 1/2 of 78

6123/-157 ≠ -157 + (????)

the divisor is 78