Root of an Equation
Synonym for solution to an equation.
- In the equation 0x = 0, all values of x are solutions or roots of the equation.
- The equation ax + b = o, where a ≠ 0, has only one root, that is x = – [latex]\frac{\textrm{b}}{\textrm{a}}[/latex].
Examples
- The solution set of the equation 3x + 4 = 7 is {1}.
- The two roots of the equation x2 – 3x + 2 = 0 are x[latex]_{1}[/latex] = 2 and x[latex]_{2}[/latex] = 1.