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LekaFEV [45]
2 years ago
5

Will mark brainliest!!!

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
8 0

The approximate solution to x³+5x²+6=0 is -5.23 after using the iteration formula.

<h3>What is iteration method?</h3>

Iteration is the process of repeating a procedure in order to produce a series of results.

We have an expression in three degree:

\rm x^3+5x^2+6=0

The iteration formula:

\rm x_{n+1}=-5-\dfrac{6}{x^2_n}

Starting with \rm x_1 = -1.5

If we plug this value in the function, it will not satisfy the equation, so this is not a solution to the expression.

Plugging n = 1, and \rm x_1 = -1.5

Plug this values in the iteration formula we get:

\rm x_2 = -7.666

Similarly, plug n = 2, \rm x_2 = -7.666

\rm x_3 =- 5.1020

Plug n = 3, \rm x_3 = -5.1020

\rm x_4 = -5.23

Thus, the approximate solution to x³+5x²+6=0 is -5.23 after using the iteration formula.

Learn more about the iteration here:

brainly.com/question/13194556

#SPJ1

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