Quadratic equation
noun · Mathematics
Definition
An equation that can be written as ax squared plus bx plus c equals 0, where a is not zero.
Explanation
It can have two, one or no real solutions. Methods include factorising, the quadratic formula and completing the square.
Example
x squared minus 5x plus 6 = 0 has solutions 2 and 3.
Common confusion
The highest power of the variable is 2. A linear equation has highest power 1.
Related terms
- RootA solution of an equation, or a number that when multiplied by itself a given number of times gives a value.
- EquationA statement that two expressions are equal.
- FactorA number or expression that divides another exactly.
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