1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Linear Equation in One Variable
Solve the fol...
Question
Solve the following equations:
√
2
x
2
−
9
x
+
4
+
3
√
2
x
−
1
=
√
2
x
2
+
21
x
−
11
.
Open in App
Solution
√
2
x
2
−
9
x
+
4
+
3
√
2
x
−
1
=
√
2
x
2
+
21
x
−
11
√
2
x
2
−
9
x
+
4
+
3
√
2
x
−
1
−
√
2
x
2
+
21
x
−
11
=
0
√
2
x
2
−
8
x
−
x
+
4
+
3
√
2
x
−
1
−
√
2
x
2
−
x
+
22
x
−
11
=
0
√
2
x
(
x
−
4
)
−
1
(
x
−
4
)
+
3
√
2
x
−
1
−
√
x
(
2
x
−
1
)
+
11
(
2
x
−
1
)
=
0
√
(
2
x
−
1
)
(
x
−
4
)
+
3
√
2
x
−
1
−
√
(
x
+
11
)
(
2
x
−
1
)
=
0
√
2
x
−
1
(
√
x
−
4
+
3
−
√
x
+
11
)
)
=
0
⇒
√
2
x
−
1
=
0
⇒
x
=
1
2
and
√
x
−
4
+
3
−
√
x
+
11
=
0
√
x
−
4
+
3
−
√
x
+
11
=
0
√
x
−
4
+
3
=
√
x
+
11
Squaring both sides
x
−
4
+
9
+
6
√
x
+
4
=
x
+
11
6
√
x
−
4
=
6
√
x
−
4
=
1
Again squaring both sides
x
−
4
=
1
x
=
5
So the values of
x
are
1
2
and
5
Suggest Corrections
0
Similar questions
Q.
Solve the following equations:
√
2
x
2
−
7
x
+
1
−
√
2
x
2
−
9
x
+
4
=
1
.
Q.
Solve the following equation:
√
x
2
+
x
+
4
+
√
x
2
+
x
+
1
=
√
2
x
2
+
2
x
+
9
Q.
Solve the following inequality:
1
+
3
x
2
2
x
2
−
21
x
+
40
<
0
Q.
The values of
x
which satisfy the equation
√
5
x
2
−
8
x
+
3
−
√
5
x
2
−
9
x
+
4
=
√
(
2
x
2
−
2
x
)
−
√
(
2
x
2
−
3
x
+
1
)
is
Q.
Solve the following quadratic equation,
2
(
x
2
+
1
x
2
)
−
9
(
x
−
1
x
)
+
14
=
0
.
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
Framing a Linear Equation
MATHEMATICS
Watch in App
Explore more
Linear Equation in One Variable
Standard IX 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