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Standard VIII
Mathematics
Solving Equations with Variables on Both Sides
Question
Solve for
x
:
x
2
=
x
3
+
1
.
9
4
8
6
A
8
B
4
C
6
D
9
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Solution
Verified by Toppr
Given,
x
2
=
x
3
+
1
.
Transposing
x
terms to one side, we get,
⇒
x
2
−
x
3
=
1
⇒
3
x
−
2
x
6
=
1
∴
x
=
6
.
Hence, option
C
is correct.
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Similar Questions
Q1
Solve for
x
:
2
√
x
+
8
√
y
=
2
4
√
x
−
9
√
y
=
−
1
View Solution
Q2
Solve for x:
x
+
5
6
−
x
+
1
9
=
x
+
3
4
View Solution
Q3
Solve for
x
:
x
−
2
x
−
4
+
x
−
6
x
−
8
=
6
2
3
View Solution
Q4
Solve the following equations.
(1) 17p − 2 = 49
(2) 2m + 7 = 9
(3) 3x + 12 = 2x − 4
(4) 5(x − 3) = 3(x + 2)
(5)
9
x
8
+ 1 = 10
(6)
y
7
+
y
-
4
3
= 2
(7) 13x − 5 =
3
2
(8) 3(y + 8) = 10(y − 4) + 8
(9)
x
-
9
x
-
5
=
5
7
(10)
y
-
4
3
+ 3y = 4
(11)
b
+
(
b
+
1
)
+
(
b
+
2
)
4
= 21
View Solution
Q5
Solve the following equations.
(1) 17(x+4) + 8(x+6) = 11(x+5) +15(x+3)
(2)
3
y
2
+
y
+
4
4
= 5−
y
-
2
4
(3) 5(1−2x) = 9(1−x)
View Solution