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On Cubic Equations Whose Roots are All Distinct
Published online by Cambridge University Press: 03 November 2016
Extract
It is well known that the cubic equation
can be solved by identifying it with the equation
If, instead of solving (2) by algebraic methods as appears to be customary, we consider the intersections of the circle
with the system of arcs of circles with equation
we quickly obtain information about the nature of the roots of (1) and can also obtain their values.
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- Copyright © Mathematical Association 1964