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They are not always discarded.

However, there are some measures that cannot be negative: such as your age or mass or the length of a rectangular field. The reason for rejecting a negative solution depends on the context of the question.

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They are often discarded but not always. The reason is that the negative answers often do not make sense in the real world. Solutions such as -3 people, or -27 apples are meaningless. Similarly, fractional solutions are also discarded at times because they make no sense: for example, 2.7 men or 4.6 cars.

Q: When a solution is set to a real-world problem involving polynomials why are the negative solutions discarded?

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The negative solutions are often discard because they have no real meaning in the real world, for example, you can not have -6 apples, it just doesn't make sense.

Because in real world problems, you cannot have answers such as "-3 people", "-4.56 minutes", "a shoe size of -9" etc... It is not logical.

Not all rational equations have a single solution but can have more than one because of having polynomials. All rational equations do have solutions that cannot fulfill the answer.

That depends on the type of problem. For example, if you have equations involving radicals, it often helps to square both sides of the equation. Note that when you do this, you may introduce additional solutions, which are not solutions to the original equation.

There are transcendental numbers such as pi, e, phi. The fact that they are transcendental means that they are not solutions of non-trivial algebraic polynomials with rational coefficients. There is, therefore, no surd form for such numbers.

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The negative solutions are often discard because they have no real meaning in the real world, for example, you can not have -6 apples, it just doesn't make sense.

Because in real world problems, you cannot have answers such as "-3 people", "-4.56 minutes", "a shoe size of -9" etc... It is not logical.

Two processes involving solutions that form a mineral:- precipitation- dissolution

Because they're not physically meaningful. For example, if you have an equation which tells you how many widgets you need to make to maximize your profit and it tells you could could either make 12 or -4, you're going to have a hard time making negative four widgets.

If the discriminant is positive, as in this case, there are two real solutions.Also: * If the discriminant is zero, there is one real solution, considered to be a "double solution" because of the way polynomials are factored. * If the discriminant is negative, there are two complex solutions, which are complex and non-real.

Not all rational equations have a single solution but can have more than one because of having polynomials. All rational equations do have solutions that cannot fulfill the answer.

That depends on the type of problem. For example, if you have equations involving radicals, it often helps to square both sides of the equation. Note that when you do this, you may introduce additional solutions, which are not solutions to the original equation.

There are transcendental numbers such as pi, e, phi. The fact that they are transcendental means that they are not solutions of non-trivial algebraic polynomials with rational coefficients. There is, therefore, no surd form for such numbers.

By solving it. There is no single easy way to solve all equations; different types of equations required different methods. You have to learn separately how to solve equations with integer polynomials, rational equations (where polynomials can also appear in the denominator), equations with square roots and other roots, trigonometric equations, and others.Sometimes, the knowledge of a type of equations can help you quickly guess the number of solutions. Here are a few examples. An equation like:sin(x) = 0.5has an infinite number of solutions, because the sine function is periodic. An equation with a polynomial - well, in theory, you can factor a polynomial of degree "n" into "n" linear factors, meaning the polynomial can have "n" solutions. However, it may have multiple solutions, that is, some of the factors may be equal. Also, some of the solutions may be complex. A real polynomial of odd degree has at least one real solution.By solving it. There is no single easy way to solve all equations; different types of equations required different methods. You have to learn separately how to solve equations with integer polynomials, rational equations (where polynomials can also appear in the denominator), equations with square roots and other roots, trigonometric equations, and others.Sometimes, the knowledge of a type of equations can help you quickly guess the number of solutions. Here are a few examples. An equation like:sin(x) = 0.5has an infinite number of solutions, because the sine function is periodic. An equation with a polynomial - well, in theory, you can factor a polynomial of degree "n" into "n" linear factors, meaning the polynomial can have "n" solutions. However, it may have multiple solutions, that is, some of the factors may be equal. Also, some of the solutions may be complex. A real polynomial of odd degree has at least one real solution.By solving it. There is no single easy way to solve all equations; different types of equations required different methods. You have to learn separately how to solve equations with integer polynomials, rational equations (where polynomials can also appear in the denominator), equations with square roots and other roots, trigonometric equations, and others.Sometimes, the knowledge of a type of equations can help you quickly guess the number of solutions. Here are a few examples. An equation like:sin(x) = 0.5has an infinite number of solutions, because the sine function is periodic. An equation with a polynomial - well, in theory, you can factor a polynomial of degree "n" into "n" linear factors, meaning the polynomial can have "n" solutions. However, it may have multiple solutions, that is, some of the factors may be equal. Also, some of the solutions may be complex. A real polynomial of odd degree has at least one real solution.By solving it. There is no single easy way to solve all equations; different types of equations required different methods. You have to learn separately how to solve equations with integer polynomials, rational equations (where polynomials can also appear in the denominator), equations with square roots and other roots, trigonometric equations, and others.Sometimes, the knowledge of a type of equations can help you quickly guess the number of solutions. Here are a few examples. An equation like:sin(x) = 0.5has an infinite number of solutions, because the sine function is periodic. An equation with a polynomial - well, in theory, you can factor a polynomial of degree "n" into "n" linear factors, meaning the polynomial can have "n" solutions. However, it may have multiple solutions, that is, some of the factors may be equal. Also, some of the solutions may be complex. A real polynomial of odd degree has at least one real solution.

Efferdent solutions are recommended for single-use only, so it should be discarded after each use. It is not designed for repeated use beyond a single application.

It isn't entirely clear what you mean "for 15 and 10". If you want an equation that has those solutions, you can simply write:(x - 15) (x - 10) = 0 If you wish, you can multiply the polynomials out. The solutions will be the same, but the resulting equation will be harder to solve.

Not sure what "effects" you are looking for... But what this means is that if you ever need to find roots of a polynomial of degree five or higher, in most cases you'll have to use approximate solutions. Since polynomials of degree 3 and 4 can be solved, but doing this is quite complicated, approximate solutions are often used in those cases, as well.