Defintion and Introduction to Quadratic Equations


Definition:

Any equation in the form of ax2 + 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:
  • 2x2 + 2x + 1 is a quadratic equation in the variable 'x'
  • 3y2 + 3y + 1 is a quadratic equation in the variable 'y'
  • 8x2 + 16 = 37x is a quadratic equation in the variable 'x'
  • x2 = 1 is a quadratic equation in the variable 'x'
  • x2 - 1 = 0 is a quadratic equation in the variable 'x'
  • a2 = 0 is a quadratic equation in the variable 'a'

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