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Definition:

Any equation in the form of ax^{2}+ bx + c, where a != 0 is called a Quadratic

Equation. ('a != 0' means 'a is not equal to zero')

Alternatively,

If the highest exponent over any variable in an equation is 2, it is known as a

Quadratic Equation.

Or,

Any equation formed by equating a quadratic expression to zero is a quadratic equation.

Examples of Quadratic Equations:

- 2x
^{2}+ 2x + 1 is a quadratic equation in the variable 'x' - 3y
^{2}+ 3y + 1 is a quadratic equation in the variable 'y' - 8x
^{2}+ 16 = 37x is a quadratic equation in the variable 'x' - x
^{2}= 1 is a quadratic equation in the variable 'x' - x
^{2}- 1 = 0 is a quadratic equation in the variable 'x' - a
^{2}= 0 is a quadratic equation in the variable 'a'

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