The substitution of
 |
(1)
|
into the standard form cubic equation
 |
(2)
|
The result reduces the cubic to the equation
 |
(3)
|
which is easily turned into a quadratic equation in 
by multiplying through by 
to obtain
 |
(4)
|
Vieta's Substitution
See also
Cubic Equation, Quadratic EquationExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Vieta's Substitution." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/VietasSubstitution.html