x^2-7x+1=0 find x^2-1/x^2
Answers
Answered by
3
Answer:
The equation :
x
2
+
7
x
−
1
=
0
is of the form
a
x
2
+
b
x
+
c
=
0
where:
a
=
1
,
b
=
7
,
c
=
−
1
The Discriminant is given by:
Δ
=
b
2
−
4
⋅
a
⋅
c
=
(
7
)
2
−
(
4
⋅
(
1
)
⋅
−
1
)
=
49
+
4
=
53
The solutions are found using the formula
x
=
−
b
±
√
Δ
2
⋅
a
x
=
−
7
±
√
53
2
⋅
1
=
−
7
±
√
53
2
The solutions are
x
=
−
7
+
√
53
2
x
=
−
7
−
√
53
2
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