Solving Quadratic Equations By The Quadratic Formula Worksheet Page 8
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16Finding the
Discriminant
Step 1:
Simplify each side if needed.
This would involve things like removing ( ), removing fractions,
adding like terms, etc.
To remove ( ): Just use the distributive property.
To remove fractions: Since fractions are another way to write
division, and the inverse of divide is to multiply, you remove
fractions by multiplying both sides by the LCD of all of your
fractions.
Step 2:
Write in standard form,
, if needed.
If it is not in standard form, move any term(s) to the appropriate
side by using the addition/subtraction property of equality.
Also, make sure that the squared term is written first left to
x
right, the
term is second and the constant is third and it is set
equal to 0.
Step 3:
Identify a, b, and c.
When the quadratic equation is in standard
a
form,
, then
is the coefficient in front of
b
x
c
the
term,
is the coefficient in front of the
term, and
is
the constant term.
Step 4:
Plug the values found in step 3 into the
discriminant,
.
Step 5:
Simplify if possible.
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