Methods to Solve Quadratic Equations
The general form of a quadratic equation is ax2+ bx+ c=0, where a = 0 and is an example of a non-linear function.
Given any quadratic equation there are various methods of solving them in order to find their intercepts, vertex and axis of symmetry.
- Factoring method:
Example: Solve the quadratic x2 -7x+12=0.
2. Square-root method : If a quadratic is of the form ax2 + c=0, then use the square root method.
3. Completing the square: When the quadratic is not factorable, use this method.
Example: x2 + 8x – 10= 0.
4. Quadratic formula:
Other non-linear functions include cubic functions, exponential and logarithmic functions whose graphs are not straight lines but are curves with different domain and ranges.
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