This document presents a mind map comparing different methods for solving quadratic equations: factoring, completing the square, extracting square roots, and the quadratic formula. Each method has advantages and disadvantages - factoring works well for factorable equations but not others, completing the square handles non-factorable equations, and the quadratic formula can solve any quadratic equation but requires more computation. Overall, the different solutions have varying applications depending on the specific quadratic equation.

1. • "Performance Task - Mind Map"
Submitted by:
Imac Andrew O. Antivola
Grade 9 - Understanding
Submitted to:
Jamaica May C. Cruz
Teacher

2. How to solve
quadratic
equation?
Extracting the
square root
ax²+c = 0
Factoring
Completing
the square
Quadratic
Formula
Differences
They have
different
processes or
techniques for
solving quadratic
equations.
Similarities
They can be
used to solved
quadratic
Equations.
Disadvantage Disadvantage
Advantage
Equations that
are factorable
can be easily
solved by
Factoring.
Disadvantage
Equations that
are not
factorable cannot
be solved by
factoring.
Advantage
Equations that
cannot be solved
by factoring and
extracting the
square roots can
be solved by
completing the
square.
The process is
quite confusing
and cannot be
used if bx is
missing.
Advantage
It can be used
to solve any
quadratic
equation.
It takes a long
time to
compute.
Advantage
Simpliest way
to solve the
equation of
the form
(ax+b) ² = c.
Disadvantage
Equation can't
be solved with
bx if the
equation is
not perfect
square.