Which formula can be used to solve quadratic equations?

The Quadratic Formula is specifically designed for solving quadratic equations, which are equations of the form ( ax^2 + bx + c = 0 ), where ( a ), ( b ), and ( c ) are constants, and ( a ) is not zero. The formula is given by ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ). This formula allows one to find the values of ( x ) that satisfy the quadratic equation, thus providing the roots of the equation.

In contrast, the other formulas listed are designed for different types of functions. The Exponential Formula deals with equations where variables are raised to powers, the Polynomial Formula encompasses equations of higher degrees but does not focus exclusively on quadratic equations, and the Linear Formula pertains to linear equations of the form ( y = mx + b ). Therefore, while all these formulas are important in their respective areas of mathematics, only the Quadratic Formula is applicable for solving quadratic equations.