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5 results for “roots”

Formulae (5)

\sqrt{n}

The value that squares to n.

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Finds the roots of any quadratic equation ax² + bx + c = 0.

\Delta = b^2 - 4ac

Determines the nature of the roots of a quadratic equation.

x_1 + x_2 = -\frac{b}{a}, \quad x_1 x_2 = \frac{c}{a}

Relates the roots of a quadratic to its coefficients.

a^{m/n} = \sqrt[n]{a^m}

A fractional exponent is a root.