Question

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Answer 1

divisor = quotient = X

remainder = X/2

dividend = 6123

now

$dividend \: = divisor \times quotient + remainder \\ 6123 = {x}^{2} + \frac{x}{2} \\ 12246 = 2 {x}^{2} + x \\ 2 {x}^{2} + x - 12246 = 0$

after solving this equation

$x = 78 \: and \: - 78.5$

so the required answer is 78.

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