👉 To solve a quadratic equation of the form \( ax^2 + bx + c = 0 \), where \( a \neq 0 \), we use the quadratic formula: \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \). Here, \( a \), \( b \), and \( c \) are coefficients from the standard form of a quadratic equation. The discriminant, \( b^2 - 4ac \), determines the nature of the roots: if it's positive, there are two distinct real roots; if zero, one real root (a repeated root); and if negative, two complex roots. This formula efficiently computes the solutions by considering both the numerator and the square root of the discriminant, ensuring accurate results for any quadratic equation.
