3
You visited us
3
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VIII
Mathematics
Expansion of (x^2 - y^2)
If x 2 -5x-...
Question
If
x
2
−
5
x
−
1
=
0
, then find the value of
x
2
+
1
x
2
A
23
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
25
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
27
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
26
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
D
27
According to question,
x
2
−
5
x
−
1
=
0
⟹
x
2
−
1
=
5
x
⟹
x
−
1
x
=
5
Squaring both sides we get,
⟹
(
x
−
1
x
)
2
=
25
⟹
x
2
+
1
x
2
−
2
=
25
⟹
x
2
+
1
x
2
=
27
Suggest Corrections
0
Similar questions
Q.
If
5
x
+
1
5
x
=
23
and
5
x
−
1
5
x
=
17
, find the value of
25
x
2
−
1
25
x
2
Q.
If
x
2
−
3
x
+
1
=
0
then find the value of
x
2
+
1
x
2
.
Q.
If
x
2
−
5
x
+
1
=
0
, then
x
10
+
1
x
5
has the value
Q.
If
(
x
−
1
x
)
2
=
25
, find the value of
x
2
−
1
x
2
.
Q.
If
x
2
+
1
x
2
=
23
,find the value of
x
+
1
x
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
x^2 - y^2
MATHEMATICS
Watch in App
Explore more
Expansion of (x^2 - y^2)
Standard VIII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app