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Quadratic Equations - Coggle Diagram
Quadratic Equations
can be solved by
three main methods
Factorisation Method
involves
expressing equation as (x + a)(x + b) = 0
then
finding roots when each factor = 0
Completing the Square Method
involves
rewriting ax² + bx + c as a(x + p)² + q
used to find
Turning Point (vertex of the parabola)
Quadratic Formula
is given by
x = −b±√(b2−4ac)/ 2a
depends on
Discriminant (b² - 4ac)
determines
number and type of roots
Substitution Method
replace variable from linear equation into quadratic
then
solve quadratic formed
are equations that
can be Reducible to a Quadratic Form
for example
by substitution like y = x²