Question

if x minus one by x = - 2, find X square + 1 by x square

Answer 1

x - 1/x = -2
or! (x - 1/x)² = (-2)²
or, x² +1/x² -2.x.1/x = 4
or, x² + 1/x² - 2 = 4
or, x² + 1/x² = 4+2
or, x² + 1/x² = 6

Hope it'll help you :)

Answer 2

Answer:
x − 1x=±5
Explanation:
just expand, rearrange n substitute,!
(x−1x)2=x2−52
⋅
x
⋅
1
x
+
(
1
x
)
2
=
x
2
−
2
+
(
1
x
)
2
=
x
2
+
1
x
2
−
2
since we have the value of
x
2
+
1
x
2
as
27
,
=
27
−
2
=
25
⇒
(
x
−
1
x
)
2
=
25
⇒
x
−
1
x
=
±
5

Or
Answer:
x
−
1
x
=
±
5
Explanation:
note that
(
x
−
1
x
)
2
=
x
2
−
2
+
1
x
2
⇒
x
2
−
2
+
1
x
2
=
27
−
2
=
25
⇒
(
x
−
1
x
)
2
=
25
take the square root of both sides
⇒
x
−
1
x
=
±
5