```Equation Breakdown
Where a, b, and c are the constants from any quadratic
function:
ax2 + bx + c = 0.
Prevailing View Prior to
Discovery
formula, astronomy was
largely a mystery. Without
being able to predict how
the planets rotated around
the Sun, and their
accelerations, it was
believed that the sky
rotated and the Earth was
stable.
Formula: Egypt
Egyptians in 1500 BCE
didn’t create equations,
but created tables of
area values for all
shapes based on any
side length.
Formula: Babylonia
Around 400 B.C,
Babylonians discover
the concept of
“completing the
square”.
Formula: Greece
Circa 300 BCE, Greek
philosopher Euclid
discovers that
irrational numbers
exist based on work of
Pythagoras
equation and recognized
two roots, and derived
independently by
Mohammad bin Musa AlKhwarismi around 820
Brahmagupta’s Formula
Formula: Italy
In1545, Girolamo
Cardano compiled AlKhwarismi’s ideas with
Euclidian geometry. This
allowed for the existence
of imaginary roots, or
roots of negative
numbers.
Formula: France
In 1637, René Descartes
published La Géometrié.
Essentially the birth of modern
mathematics, and the
developed here in the way we
is derived from completing the
square of ax2 + bx + c = 0.
equation is the prominent
equation of supply and
formula is useful in
applications to find roots
that do not factor
perfectly.
Societal Impact of
When Kepler discovered that
the Earth’s orbit was, in fact, an
ellipse, it opened the door for
this orbit more precisely.
In the 17th century, Galileo ,
noticed this equation could be
used to determine the
acceleration of planets around
the Sun.
Formula: Cell Phones
discovery of imaginary numbers,
quantum theory.
This equation allows one to predict
the motion of electrons in semiconductors, which make it possible