What is the quadratic equation formula?

What is the quadratic equation formula?

The quadratic equation formula is given by x = (-b ± √(b² - 4ac)) / (2a). It helps find the roots of a quadratic equation.

Can you explain what each part of the formula means?

Sure! In the formula, 'a', 'b', and 'c' are coefficients of the quadratic equation ax² + bx + c = 0. The term 'b² - 4ac' is called the discriminant, which determines the nature of the roots.

What does the discriminant tell us?

The discriminant indicates the nature of the roots: if it's positive, there are two distinct real roots; if zero, one real root; and if negative, two complex roots.

Can you give me an example of using the formula?

Of course! For the equation 2x² + 4x - 6 = 0, a = 2, b = 4, and c = -6. Plugging these into the formula gives you the roots.