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A quadratic, of the form ax2 + c can always be factorised as a(x2 + c/a).

It can be factorised into real linear factors only if c is negative. So suppose c = -d where d is positive. Then

ax2 - d = a(x2 - d/a) = a*[x - √(d/a)]*[x + √(d/a)]

The linear factors are rational only if d/a is a rational square.

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