What is the quadratic formula?

[justseyi]

The quadratic formula is:
x = (-b ± √(b^2 – 4ac)) / 2a
Where:
a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0
x represents the solutions (roots) of the equation

The quadratic formula is used to solve quadratic equations of the form:

ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0

The quadratic formula is:

x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 – 4ac}}{2a}x=2a−b±b2−4ac​​

This formula provides the solutions (roots) for the quadratic equation, where:

• $a$ is the coefficient of x2x^2x2
• $b$ is the coefficient of $x$
• $c$ is the constant term
• $\pm$ indicates that there are generally two solutions: one using the plus sign and one using the minus sign
• The expression under the square root, b2−4acb^2 – 4acb2−4ac, is called the discriminant and determines the nature of the roots (real and distinct, real and equal, or complex).

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