Lesson Worksheet: Solving Quadratic Equations Iteratively Mathematics
In this worksheet, we will practice solving quadratic equations using an iterative process.
Q1:
The equation of the following graph is . Use the iterative formula , starting with , to find the smallest root of the equation to 4 decimal places.
Q2:
The equation of the following graph is . Use the iterative formula , starting with , to find the negative root of the equation to 4 decimal places.
Q3:
The equation of the following graph is .
Use the iterative formula , starting with , to find the positive root of the equation to 4 decimal places.
Use the iterative formula , starting with , to find the negative root of the equation to 4 decimal places.
Q4:
The equation of the following graph is . Use the iterative formula , starting with , to find the largest root of the equation to 4 decimal places.
Q5:
The equation of the following graph is . Use the iterative formula , starting with , to find the positive root of the equation to 4 decimal places.
Q6:
What type of quadratic roots does the iterative method find?
- AReal roots
- BComplex roots
- CAll of the above
Q7:
True or False: For a quadratic equation whose roots are real and distinctive, we can always find both roots with the same iterative formula.
- ATrue
- BFalse
Q8:
True or False: We can find the roots of any quadratic equation by using the same iterative formula.
- ATrue
- BFalse
Q9:
The equation of the given graph is . Use the iterative formula , starting with , to find the -coordinate of one of the intersections of the curve with the to 3 decimal places.
Q10:
Consider the function , which of the following iterative formulae can be used to find a solution to the equation , given an appropriate value for .
- A
- B
- C
- D
- E
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