Question

Will mark brainliest!!!

Answer 1

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

What is iteration method?

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