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Quadratic Equations
Class 10
Page 2


Quadratic Equations
Class 10
Did you know?
The word Quadratic is derived
from a Latin word meaning square
Quadratic
2
Quadratic Equations refer to the
equations which have a degree of 2 
Page 3


Quadratic Equations
Class 10
Did you know?
The word Quadratic is derived
from a Latin word meaning square
Quadratic
2
Quadratic Equations refer to the
equations which have a degree of 2 
E x a m p l e s :
2x² + 3x + 1 = 0
x² + 7 = 0
5x² = 0
For the above equations given in x, the highest
power(degree) is 2; Hence, making them Q u a d r a t i c
E q u a t i o n s
Page 4


Quadratic Equations
Class 10
Did you know?
The word Quadratic is derived
from a Latin word meaning square
Quadratic
2
Quadratic Equations refer to the
equations which have a degree of 2 
E x a m p l e s :
2x² + 3x + 1 = 0
x² + 7 = 0
5x² = 0
For the above equations given in x, the highest
power(degree) is 2; Hence, making them Q u a d r a t i c
E q u a t i o n s
300 m²
2x + 1
x
Representing Area of rectangle
=Length × Breadth
=(2x+1) × x 
=2x² + x 
? 2x² + x = 300
Given area equals 300
Page 5


Quadratic Equations
Class 10
Did you know?
The word Quadratic is derived
from a Latin word meaning square
Quadratic
2
Quadratic Equations refer to the
equations which have a degree of 2 
E x a m p l e s :
2x² + 3x + 1 = 0
x² + 7 = 0
5x² = 0
For the above equations given in x, the highest
power(degree) is 2; Hence, making them Q u a d r a t i c
E q u a t i o n s
300 m²
2x + 1
x
Representing Area of rectangle
=Length × Breadth
=(2x+1) × x 
=2x² + x 
? 2x² + x = 300
Given area equals 300
2x² + x = 300
Let’s Analyze:
Is this an Equation?
Yes
Is it a Quadratic Equation?
Yes
2x² + x = 300
Is this a Quadratic Equation?
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