Concept

Quadratic Equation

A quadratic equation is a polynomial equation of second degree, meaning the highest exponent of its monomials is

2 .

A quadratic equation can be written in standard form as follows.

$a x^{2} + b x + c = 0$

a

is non-zero, which guarantees that the

x^{2} -

term is present. Solving a quadratic equation means finding the zeros of the related quadratic function. Therefore, quadratic equations can have at most two solutions.

Quadratic Equation a x^{2} + b x + c = 0 Related Function y = a x^{2} + b x + c

This type of equation can be solved using several methods, such as graphing and factoring. If the linear coefficient

b

of a quadratic equation is

0,

the equation is called a simple quadratic equation and can be written in the following form.

$a x^{2} + c = 0$

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