Mastering The Quadratic Formula For Solving Quadratic Equations

quadratic formula

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The quadratic formula is a formula used for solving quadratic equations of the form ax^2 + bx + c = 0, where a, b, and c are real coefficients. The formula is:

x = (-b ± √(b^2 – 4ac)) / 2a

This formula provides the values of x that solve the quadratic equation. The symbol ± means that there are two solutions, one with a positive sign and one with a negative sign, because the quadratic equation can have two roots.

The quadratic formula can be derived by completing the square in the quadratic equation and isolating x. The formula is often used when factoring or completing the square are not feasible methods for solving the equation.

It is important to note that the quadratic formula only works for quadratic equations. It cannot be used to solve higher-degree polynomials or any equation that is not quadratic.

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