MHB Solving Equations with High-Power Terms

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To solve an equation with a high-power term, numerical methods such as the Newton method and the dichotomy method are recommended for approximation. These iterative techniques can effectively handle complex equations where traditional algebraic methods may fall short. Utilizing computer programs can also streamline the solving process and provide more accurate results. Specificity in the chosen method can enhance the efficiency of finding solutions. Employing these strategies can lead to successful resolution of high-power equations.
Doffy
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What steps can be taken to solve an equation with a relatively higher power on one side such as:
6977x/1200 = (1 + x/12)60 - 1
 
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Doffy said:
What steps can be taken to solve an equation with a relatively higher power on one side such as:
6977x/1200 = (1 + x/12)60 - 1

You can approximate the solution using numerical methods.
 
evinda said:
You can approximate the solution using numerical methods.

That still leaves too many options. Could you please be a little more specific?
 
Perhaps, the iterative methods, for example,
Newton method, dichotomy method and other.

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Have you tried to solve it using computer programs?
 
I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...

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