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Class 10
Math
All topics
Quadratic Equations
504
150
Check whether the following are quadratic equations:
2
x
2
−
3
x
+
5
=
0
Solution:
Given,
2
x
2
−
3
x
+
5
=
0
⇒
2
x
2
+
5
=
3
x
⇒
(
2
x
2
+
5
)
2
=
(
3
x
)
2
⇒
4
x
4
+
2
0
x
2
+
2
5
=
9
x
⇒
4
x
2
+
2
0
x
2
−
9
x
+
2
5
=
0
∵
The highest power of x in the equation is 4;
∴
It is not a quadratic equation.
504
150
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Similar topics
functions
introduction to trigonometry
some applications of trigonometry
quadratic equations
arithmetic progressions
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functions
introduction to trigonometry
some applications of trigonometry
quadratic equations
arithmetic progressions
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Related Questions
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
t
2
+
1
If
x
−
y
=
7
and
x
y
=
9
, find the value of
(
x
2
+
y
2
)
.
x
2
+
1
The mentioned equation is in which form?
n
−
3
=
4
n
Test, whether the following equation is quadratic equation.
x
+
x
1
+
x
2
,
x
=
0
Is the following equation a quadratic equation?
4
3
x
−
8
5
x
2
=
8
7
Solve:
y
+
y
1
The mentioned equation is in which form?
(
y
−
2
)
(
y
+
2
)
=
0
Related Questions
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
t
2
+
1
If
x
−
y
=
7
and
x
y
=
9
, find the value of
(
x
2
+
y
2
)
.
x
2
+
1
The mentioned equation is in which form?
n
−
3
=
4
n
Test, whether the following equation is quadratic equation.
x
+
x
1
+
x
2
,
x
=
0
Is the following equation a quadratic equation?
4
3
x
−
8
5
x
2
=
8
7
Solve:
y
+
y
1
The mentioned equation is in which form?
(
y
−
2
)
(
y
+
2
)
=
0
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