Question

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

Answers

Ms. Sue
What is the square root of 6123?
Reiny
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

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