# 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