Can a Function Equal Zero with Non-Zero and Unknown?

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In summary, a function can equal zero with non-zero and unknown variables, and to solve for an unknown variable in a function that equals zero, algebraic methods such as factoring, substitution, or the quadratic formula can be used. A function can have multiple unknown variables and still equal zero, but more complex methods may be needed to solve for them. It is also possible for a function to equal zero without any unknown variables, and a function can never equal zero for all possible inputs.
  • #1
Femme_physics
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If I have a non-zero on top, and an unknown at the bottom, can this function = 0?
 
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  • #2
No, a rational fraction can only be zero if the numerator becomes zero...
 
  • #3
Aha! So if that happens with derivatives, there are no critical points, right?
 
  • #5
Math is groovy :)

Thanks!
 

Related to Can a Function Equal Zero with Non-Zero and Unknown?

1. Can a function equal zero with non-zero and unknown variables?

Yes, a function can equal zero even if there are non-zero and unknown variables. This is because the value of the unknown variable can be any number, including zero, which can make the function equal to zero.

2. How do I solve for an unknown variable in a function that equals zero?

To solve for an unknown variable in a function that equals zero, you can use algebraic methods such as factoring, substitution, or the quadratic formula. These methods will help you find the value of the unknown variable that makes the function equal to zero.

3. Can a function have multiple unknown variables and still equal zero?

Yes, a function can have multiple unknown variables and still equal zero. In this case, you will need to use more complex algebraic methods to solve for the unknown variables. It may also be helpful to have additional information or equations to solve for the unknown variables.

4. Is it possible for a function to equal zero without any unknown variables?

Yes, it is possible for a function to equal zero without any unknown variables. This can happen if the function is a constant or a polynomial with known coefficients, and the value of the function is equal to zero at a specific input or set of inputs.

5. Can a function never equal zero?

No, a function can never equal zero. This is because a function is defined as a rule that assigns a unique output to each input, and there will always be at least one input that will make the function equal to zero. However, the function may not equal zero for all possible inputs.

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