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

Q1:

The equation of the following graph is 𝑦=𝑥+𝑥−5𝑥+1. Use the iterative formula 𝑥=−𝑥+5𝑥−1, starting with 𝑥=−3, to find the negative root of the equation 𝑥+𝑥−5𝑥+1=0 to 4 decimal places.

Q2:

The equation of the following graph is 𝑦=𝑥−𝑥−6𝑥+2. Use the iterative formula 𝑥=𝑥+6𝑥−2, starting with 𝑥=3, to find the largest root of the equation 𝑥−𝑥−6𝑥+2=0 to 4 decimal places.

Q3:

The equation of the following graph is 𝑦=−𝑥+𝑥+5𝑥+2. Use the iterative formula 𝑥=𝑥+5𝑥+2, starting with 𝑥=3, to find the positive root of the equation −𝑥+𝑥+5𝑥+2=0 to 4 decimal places.

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