Root of Equation/Examples/Arbitrary Quadratic

Examples of Roots of Equation

Consider the equation:

$\map E x := x^2 - x - 6 = 0$

The roots of $\map E x$ are:

\(\ds x\)

\(=\)

\(\ds -2\)

\(\ds x\)

\(=\)

\(\ds 3\)

Proof

$\map E x$ can be expressed as:

$\paren {x - 3} \paren {x + 2} = 0$

The result follows.

Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): root: 1. (of an equation)