Solving Quadratics using a Calculator (Cambridge (CIE) IGCSE International Maths)
Revision Note
Written by: Jamie Wood
Reviewed by: Dan Finlay
Solving Quadratics using a Calculator
How do I solve quadratic equations using my calculator?
Your graphic display calculator is able to solve quadratic equations
Within the menu you will find an option for solving a polynomial
This may be within the equation solver section on some models
Select the degree or order of polynomial you are solving
When solving a quadratic, the degree or order is 2
Type in the coefficients of the quadratic you are solving
This is usually in the format
or
E.g. To solve
or
You must therefore rearrange the equation you are solving to this format ( ... = 0)
Then press enter or solve to view the solutions
Should I round my answers?
Your graphic display calculator will present answers in exact form where possible
E.g. rather than 0.6055512755...
Your calculator will be able to switch between the exact form and a decimal
If there is further working to be done using this answer
it is best to keep it in an exact form
If the solutions to the quadratic are the final answers for the question
check the question to see if it requests an exact answer
or a decimal approximation (e.g. to three significant figures)
Should I show my working when using a calculator to solve a quadratic?
In a calculator paper it is expected that you use your calculator to solve quadratic equations
Therefore you do not need to show working (such as using the quadratic formula)
However, you should write down:
The equation you are entering into your calculator (and any prior rearranging)
Both solutions found by your calculator
In exact form where possible
This will ensure you receive as many method marks as possible, in case of an error
Examiner Tips and Tricks
Solving a quadratic on your calculator can also help factorise a quadratic:
If the solutions to a quadratic equation are and
Then the equation can be written as
Worked Example
Use your calculator to solve the equation giving your solutions to four significant figures.
Rearrange the equation to the form
On your calculator, enter the menu and select the polynomial solver
Enter the coefficients of 6, 10 and -19, and solve
Write down the exact solutions
The question requests the answers to four significant figures
Find the decimal approximations to the solutions on your calculator
Round to four significant figures
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