solve the equation by Square method...
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Popular Problems Algebra Solve by Completing the Square x^2-x-20=0
x
2
−
x
−
20
=
0
Add
20
to both sides of the equation.
x
2
−
x
=
20
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
−
1
2
)
2
Add the term to each side of the equation.
x
2
−
x
+
(
−
1
2
)
2
=
20
+
(
−
1
2
)
2
Simplify the equation.
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x
2
−
x
+
1
4
=
81
4
Factor the perfect trinomial square into
(
x
−
1
2
)
2
.
(
x
−
1
2
)
2
=
81
4
Solve the equation for
x
.
x
=
5
,
−
4
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2
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