- #1
-EquinoX-
- 564
- 1
Homework Statement
if I have a root of a +/- bi
i = imaginary number
what should the original algebra eqution?
Nope. The a2 + b2 comes from multiplying (-(a + bi))(-(a - bi)) = (a + bi)(a - bi) = a2 -b2i2 = a2 + b2.-EquinoX- said:thanks Mark, shouldn't it be a^2 - b^2?
The process for finding the original algebraic equation involves reverse engineering a given equation to determine the original form. This typically involves using algebraic techniques such as factoring, expanding, and simplifying.
An equation is considered the original form if it cannot be further simplified or factored. This means that all of the terms and coefficients are in their most simplified form and there are no common factors remaining.
Some common techniques used to find the original algebraic equation include factoring, expanding, completing the square, and using the quadratic formula. These techniques are based on algebraic principles and can help to simplify and rearrange equations to their original form.
Yes, an equation can have multiple original forms. This is because there are often different ways to manipulate and rearrange an equation to its simplest form. However, all of these forms will ultimately be equivalent and represent the same relationship between variables.
No, it is not always possible to find the original algebraic equation. This is especially true for more complex equations with higher degrees and multiple variables. In some cases, the original form may be lost or impossible to determine due to the manipulation and simplification of the equation.