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DevinThey 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.
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When a solution set to a real world problem involving polynomials contains both positive and negative solutions why are the negative solutions often discarded?
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.
When a solution set to a real-world problem involving polynomials contains both positive and negative solutions why are the negative solutions often discarded?
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.
Do all rational equations have a single solution?
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.
How do you solve radicals in math?
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.
Why all irrational numbers are not surd?
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.
