Junior High School, High School, Senior High School.
To solve a quadratic equation, complete the square.
The solution set of a quadratic equation is to be determined. For this purpose the technique of completing the square is used.
If desired, the solution is described in the solution sheet in the steps
- Convert to monic form
- Complete the square
- Combine like terms on right side
- Introduce square
- Extract root
- Specify the solution set
is presented in detail. These steps can be presented in the problem definition as cloze text, the correct values must then be inserted.
In the problem definition the solution of a quadratic function is asked for. It can be set whether the way of solution via square completion should also be mentioned.
To simplify or complicate the problem, the degree of normalization can be changed. Thus it can be set whether the absolute element should be present (i.e. not equal to zero) or not, and whether the leading coefficient (of x^2) is equal to one or not. In the latter case, coversion to monic form requires a division of the whole equation by the lead coefficient's value.
The number of problems is also adjustable.
Download free printable worksheets for this math problem here. The worksheet contains the problems only, the solution sheet includes the answers. Just click on the respective link.
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