**What is an extraneous solution:**

An extraneous solution is a chemical compound that does not participate in the reaction but is present in the solution. It can be a contaminant or an impurity. In analytical chemistry, it is essential to identify and quantify all components in a sample. This includes both the desired species and any extraneous solutions.

Extraneous solutions can arise from several sources. One common source is a carryover. Carryover occurs when a species from one sample contaminates another sample. For example, suppose you measure the concentration of a metal ion in water and use the same pipette to transfer water from your sample beaker to your analysis vial. In that case, you may introduce metal from the pipette into your analysis vial. This would present an extraneous solution to your sample.

Another common source of extraneous solutions is contamination. Contamination can occur when a sample is exposed to environmental pollutants or when it comes into contact with foreign objects such as glassware or plasticware. Contamination can also be introduced during sample preparation. For example, if you are grinding up a sample for analysis, you may introduce contaminants into the model.

Extraneous solutions can also arise from chemical reactions that occur in the sample. For example, suppose you measure the concentration of a metal ion in water and add acid to the water to dissolve the metal ion. In that case, hydrochloric acid will be formed as a by-product of the reaction. This is an extraneous solution.

**what is an extraneous solution to a radical equation:**

**Extraneous root definition:**

1. outward, exterior, or surface structure or layer.

2. Biology Anatomy . a root was growing out of the central core of a plant.

3. Genetics . an adventitious bud on a plant, formed at the junction of the scion and stock in grafting or budding, as distinguished from an axillary bud, which arises from one of the cambium layers just beneath the bark

4. Usage Problem. Something has been introduced into some system, group, etc., from outside sources.

[1]Now I admit it does seem to have its uses, but I think most would agree on this definition rather than how it is applied by many adherents to their faith today; “the first being or emanating from the divine source.”

[2] I should mention that some Christians might define it this way also.

[3] It is essential that we feel free to discuss any topic within reason, but this has not been happening as far as religion goes, at least not publicly.

**Extraneous solution calculator:**

1. a handheld calculator is used to check the solution of simultaneous equations.

2. a tool for finding unknowns in simultaneous linear equations, consisting essentially of two adjustable arms, each with three slide rules or scales recording the coefficients of one of the three variables and bearing from right to left first a scale giving the coefficients of x, then a scale was giving those of y, and lastly a scale is giving those of z.

In particular, it seems entirely reasonable to me and quite acceptable both Biblically and Historically to take an analytical approach when discussing the subject.

I feel that “Mormons” should not be the only ones allowed to take whatever position they see fit when discussing this and other issues. So after careful consideration, I have come up with a solution calculator for any number of simultaneous equations. This calculator is free and can be used by anyone to check their equation or solve equations presented by others.

**Extraneous root example:**

1. Biology . a root growing out of the central core of a plant.

2. Genetics . an adventitious bud on a plant, formed at the junction of the scion and stock in grafting or budding, as distinguished from an axillary bud, which arises from one of the cambium layers just beneath the bark

3. Something introduced into some system, group, etc., from outside sources.

Now, as I have already made my position on using the extraneous root counterproductive and disrespectful by definition, I will assume that those who use it in this manner are not aware of what they are doing.

This is because “they know not what they do” if you like. So quoting chapter and verse is hardly necessary, but I would like to point out Moses 7:13; “And he gave unto them commandments, that they should worship the Lord their God, and should offer their sacrifices unto him.”

**What is an extraneous solution in absolute value:**

1. something that is not relevant or appropriate to the problem at hand, especially if this fact is discovered only after considerable effort has been expended on it.

This computer solution also shows that both the hypotheses and logic behind its use are faulty. The extraneous root calculator will show how for any equation which you want to solve; x = b ± √(b² – 4ac), x = c ± √(c² – 4ac), etc., where a, b & c are any real numbers can be solved using just ± 1.

So there is no need to mention “Mormons” anymore as anyone who promotes these theories publicly does so to promote themselves through self-aggrandizement and not to help those who listen.

**Extraneous root calculator:**

1. a handheld calculator is used to check the solution of simultaneous equations.

2. a tool for finding unknowns in simultaneous linear equations, consisting essentially of two adjustable arms, each with three slide rules or scales recording the coefficients of one of the three variables and bearing from right to left first a scale giving the coefficients of x, then a scale is giving those of y. Lastly, a scale is given those of z.

The reasoning behind this single sided flapdoodle is all based on an equation which can be written as; (x² + ax + b) – (y² + ay + c = 0 . If we were to take the square root of each side we would get; x² + ax + b = y² + ay + c and ±√(b² – 4ac) = ±√(c² – 4ac).

From here, it is easy to see that the extraneous root will always be the negative of the other two hearts. So using this information, we can solve any equation without using the outside meat.