In this lesson, we will learn how to solve quadratic equations using an iterative process.

Q1:

The equation of the following graph is 𝑦=−𝑥+8𝑥−14. Use the iterative formula 𝑥=−14𝑥−8, starting with 𝑥=3, to find the smallest root of the equation −𝑥+8𝑥−14=0 to 4 decimal places.

Q2:

The equation of the following graph is 𝑦=𝑥+3𝑥−9. Use the iterative formula 𝑥=9𝑥−3, starting with 𝑥=−5, to find the negative root of the equation 𝑥+3𝑥−9=0 to 4 decimal places.

Q3:

The equation of the following graph is 𝑦=𝑥+5𝑥−13.

Use the iterative formula 𝑥=135+𝑥, starting with 𝑥=2, to find the positive root of the equation 𝑥+5𝑥−13=0 to 4 decimal places.

Use the iterative formula 𝑥=13𝑥−5, starting with 𝑥=−7, to find the negative root of the equation 𝑥+5𝑥−13=0 to 4 decimal places.

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