- #1
Simon T
- 16
- 0
1.05 = (1 + i)^6
How would you do this equation?
- MHB
- Thread starter Simon T
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In summary, solving an equation involves following the order of operations and using inverse operations to isolate the variable on one side of the equal sign. The first step is to simplify both sides of the equation, and algebraic operations are necessary to solve an equation. The purpose of solving an equation is to find the value of the variable and it is used in various scientific fields. There is a specific order, known as the order of operations, that should be followed in solving an equation to ensure the correct solution is obtained.
- #2
MarkFL
Gold Member
MHB
- 13,288
- 12
Assuming $i$ is a variable, and not the imaginary unit, are you interested in all 6 roots, or just the reals, or just the positive reals?
- #3
Simon T
- 16
- 0
im not too sure what you mean. Here's a screenshot of the question:
- #4
MarkFL
Gold Member
MHB
- 13,288
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Well, what does $i$ represent...an interest rate? If so, then we are only interested in the positive real root.
- #5
Simon T
- 16
- 0
it just says solve the power equation
- #6
MarkFL
Gold Member
MHB
- 13,288
- 12
Okay, well to get all 6 roots, I would let:
\(\displaystyle r=\sqrt[3]{\frac{21}{20}}\)
And write the equation as:
\(\displaystyle \left((1+i)^2\right)^3-r^3=0\)
Now, factor this as a difference of cubes...what do you get?
\(\displaystyle r=\sqrt[3]{\frac{21}{20}}\)
And write the equation as:
\(\displaystyle \left((1+i)^2\right)^3-r^3=0\)
Now, factor this as a difference of cubes...what do you get?
FAQ: How would you do this equation?
How do I solve this equation?
To solve an equation, you need to follow the order of operations and isolate the variable on one side of the equal sign. You can do this by using inverse operations, such as addition and subtraction or multiplication and division, to cancel out any other terms or numbers in the equation.
What is the first step in solving an equation?
The first step in solving an equation is to simplify both sides of the equation by combining like terms and using the distributive property, if necessary. This will help make the equation easier to solve.
Can I solve an equation without using algebra?
No, solving an equation requires algebraic operations and concepts. However, you can use a calculator to help you with the calculations.
What is the purpose of solving an equation?
Solving an equation helps you find the value of the variable or unknown quantity. It is used in various fields of science, such as physics and chemistry, to determine relationships between variables and to make predictions.
Is there a specific order in solving an equation?
Yes, there is a specific order in solving an equation, known as the order of operations. This order is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). Following this order ensures that you get the correct solution to the equation.