Derivation Of The Quadratic Formula Worksheet With Answer Key Page 2
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2
3
4
5The steps below are in mixed order. Your task is to arrange them in the correct order.
1) Cut out the 13 steps below.
2) Use the algebraic expressions on the first page to help arrange the steps in the correct order.
nd
3) Paste them in the correct order in the 2
column.
2
Simplify
on the right side of the
4a
equation.
b
Subtract
from both sides of the equation.
€
2a
Divide the general form of a quadratic
equation by a.
€
Factor the trinomial on the left side of the
equation.
Combine the fractions on the right side of the
equation.
a
a
Use the property
on the right side
=
b
b
of the equation.
Combine the fractions to obtain the Quadratic
Formula.
€
c
Subtract the constant
from both sides of the
a
equation.
2
b
"
$
Multiply out
on the right side of the
#
%
2a
€
equation.
Take half of the coefficient of the linear term,
square it, and add it to both sides of the
€
equation.
2
b
"
$
Simplify
on the left side of the
x +
#
%
2a
equation.
c
Multiply
by an equivalent form of one to
−
a
€
obtain common denominators.
Take the square root of both sides of the
equation.
€
MCC@WCCUSD 12/02/11
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