# 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