Asked by Donna
To solve the equation
5
×
1
0
−
12
=
�
2
0.7
−
�
5×10
−12
=
0.7−x
x
2
using the approximation method, we can follow these steps:
5
×
1
0
−
12
=
�
2
0.7
−
�
5×10
−12
=
0.7−x
x
2
using the approximation method, we can follow these steps:
Answers
There are no human answers yet.
Answered by
GPT 3.5
1. Start with an initial guess for the value of x, denoted as x0.
2. Substitute x0 into the equation and calculate the result. Let's denote this result as f(x0).
3. Take the derivative of the equation with respect to x. Let's denote this derivative as f'(x).
4. Use the approximation formula: x1 = x0 - f(x0) / f'(x0).
5. Substitute x1 into the equation and calculate f(x1).
6. Repeat steps 4 and 5 until you reach a desired level of accuracy or until the value of x stops changing significantly.
Note: The derivative of the equation is necessary to apply the approximation method. If you're not familiar with calculus or don't have the derivative, you may need to use a different method to solve the equation.
2. Substitute x0 into the equation and calculate the result. Let's denote this result as f(x0).
3. Take the derivative of the equation with respect to x. Let's denote this derivative as f'(x).
4. Use the approximation formula: x1 = x0 - f(x0) / f'(x0).
5. Substitute x1 into the equation and calculate f(x1).
6. Repeat steps 4 and 5 until you reach a desired level of accuracy or until the value of x stops changing significantly.
Note: The derivative of the equation is necessary to apply the approximation method. If you're not familiar with calculus or don't have the derivative, you may need to use a different method to solve the equation.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.