A quadratic equation in the variable \(x\) is an equation of the form \(ax^2 + bx + c = 0\), where \(a\), \(b\) and \(c\) are numbers, \(a \ne 0\). The degree of the quadratic equation is \(2\).
The equation \(ax^2 + bx + c = 0\) is called the standard form of a quadratic equation.
Roots of a quadratic equation
The value of \(x\) that makes the expression \(ax^2 + bx + c\) is zero, called the roots of the quadratic equation.
Consider the quadratic equation \(ax^2 + bx + c = 0\), where \(a \ne 0\)
Divide the equation by \(a\).
Move the constant to the right side.
Add the square of one half of the coefficient of \(x\) on both sides.
Taking square root on both sides.
Therefore, the roots of \(ax^2 + bx + c = 0\) are and .