Solve by quadratic formula
(
x
−
2
)
2
−
1
0
2
=
x
Expand the expression
Expand the expression using
(
a
±
b
)
2
=
a
2
±
2
ab
+
b
2
x
2
−
2
x
×
2
+
2
2
−
1
0
2
=
x
x
2
−
2
x
×
2
+
2
2
−
1
0
2
=
x
Mutiply
Multiply the
monomials
x
2
−
4
x
+
2
2
−
1
0
2
=
x
x
2
−
4
x
+
2
2
−
1
0
2
=
x
2 steps
Calculate
Calculate the power
x
2
−
4
x
+
4
−
1
0
2
=
x
Calculate the power
x
2
−
4
x
+
4
−
100
=
x
Calculate the power
x
2
−
4
x
+
4
−
100
=
x
x
2
−
4
x
+
4
−
100
=
x
Combine like terms
Combine like terms
x
2
−
4
x
−
96
=
x
x
2
−
4
x
−
96
=
x
Rearrange the terms
Rearrange all nonzero terms to the left side of the equation
x
2
−
4
x
−
96
−
x
=
0
x
2
−
4
x
−
96
−
x
=
0
Combine like terms
Combine like terms
x
2
−
5
x
−
96
=
0
x
2
−
5
x
−
96
=
0
Identify the coefficients
Identify the coefficients
a
=
1
,
b
=
−
5
,
c
=
−
96
a
=
1
,
b
=
−
5
,
c
=
−
96
Use the quadratic formula
Substitute into
x
=
2
a
−
b
±
b
2
−
4
a
c
x
=
2
−
(
−
5
)
+
(
−
5
)
2
−
4
×
(
−
96
)
or
x
=
2
−
(
−
5
)
−
(
−
5
)
2
−
4
×
(
−
96
)
x
=
2
−
(
−
5
)
+
(
−
5
)
2
−
4
×
(
−
96
)
or
x
=
2
−
(
−
5
)
−
(
−
5
)
2
−
4
×
(
−
96
)
More steps
Show more steps
x
=
2
−
(
−
5
)
+
(
−
5
)
2
−
4
×
(
−
96
)
Determine the sign
x
=
2
5
+
5
2
+
4
×
96
Calculate the power
Calculate the power
x
=
2
5
+
25
+
4
×
96
Calculate the product or quotient
Calculate the product or quotient
x
=
2
5
+
25
+
384
Calculate the sum or difference
x
=
2
5
+
409
Calculate the sum or difference
x
=
2
5
+
409
x
=
2
−
(
−
5
)
−
(
−
5
)
2
−
4
×
(
−
96
)
Determine the sign
x
=
2
5
−
5
2
+
4
×
96
Calculate the power
Calculate the power
x
=
2
5
−
25
+
4
×
96
Calculate the product or quotient
Calculate the product or quotient
x
=
2
5
−
25
+
384
Calculate the sum or difference
x
=
2
5
−
409
Calculate the sum or difference
x
=
2
5
−
409
x
=
2
5
+
409
or
x
=
2
5
−
409
Answer
x
=
2
5
+
409
or
x
=
2
5
−
409