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Math Grade 9
Math Quarter 1
Solving Quadratic Equations with Formulas
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Kai Ignacio
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If b^
2
-
4ac
>
0
, there are
two
real solutions.
To use the
quadratic
formula,
substitute
the values from the
standard
form into the
formula.
The
quadratic
formula is used to find the
roots
(
x-intercepts
) of a
quadratic
equation.
If b^2 - 4ac < 0, there are
no real solutions.
If
b^2
-
4ac
=
0
, there is one
real
solution (
repeated
).
The
quadratic
formula can be used to find the
roots
of any
quadratic
equation.
The
discriminant
is the expression
inside
the square
root
sign when using the
quadratic
formula to find
x-intercepts.
The discriminant is calculated by
subtracting
ac from
b^2.
When solving quadratic equations by factoring, look for factors that
multiply
to ac.
Factoring can be helpful in finding the
zeros
of a
polynomial
function.
When using the quadratic formula, make sure that all terms have
like bases
and
coefficients.
When solving quadratic equations using
factoring
or
completing
the square, it's important not to forget any terms when
combining like
terms.
When solving quadratic equations using
factoring
or
completing
the square, it's important not to forget any terms when
combining like
terms.
When solving quadratic equations using the
quadratic
formula, it's important not to
round
off too
early
or too
late.
When solving quadratic equations using the
quadratic
formula, it's important not to
round
off too
early
or too
late.
Quadratic
functions can be solved by
completing
the square or
graphing
on a calculator.
Quadratic
functions can be solved by
completing
the square or
graphing
on a calculator.