Simultaneous Equations (Edexcel A-Level Mathematics): Flashcards

Equations where at least one equation is quadratic

Substitution

Substitute linear equation into quadratic equation

Rearrange to form quadratic equation equal to zero

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Complex solutions

Intersection points are real and can be plotted

Curves do not intersect on the real plane

Substitute $x$ back into linear equation

Quadratic formula or factorization

Intersection points of the curves

Nature of the discriminant