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
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