VerifySolutions

VerifySolutions

is an option to Solve and related functions that controls whether to verify solutions.

Details

  • VerifySolutions controls whether the solutions obtained using non-equivalent transformations or numerical methods should be verified.
  • Possible settings include:
  • Automaticautomatically determine whether to verify
    Trueattempt to verify
    Falsedo not verify

Examples

Basic Examples  (2)

Solve an equation:

Use VerifySolutions to check if they are solutions or not:

Solve verifies solutions obtained using non-equivalent transformations:

With VerifySolutionsFalse, Solve does not verify the solutions:

Some of the solutions returned with VerifySolutionsFalse are not correct:

This uses a fast numeric test in an attempt to select correct solutions:

In this case, numeric verification gives the correct solution set:

Wolfram Research (1988), VerifySolutions, Wolfram Language function, https://reference.wolfram.com/language/ref/VerifySolutions.html.

Text

Wolfram Research (1988), VerifySolutions, Wolfram Language function, https://reference.wolfram.com/language/ref/VerifySolutions.html.

CMS

Wolfram Language. 1988. "VerifySolutions." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/VerifySolutions.html.

APA

Wolfram Language. (1988). VerifySolutions. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/VerifySolutions.html

BibTeX

@misc{reference.wolfram_2024_verifysolutions, author="Wolfram Research", title="{VerifySolutions}", year="1988", howpublished="\url{https://reference.wolfram.com/language/ref/VerifySolutions.html}", note=[Accessed: 06-December-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_verifysolutions, organization={Wolfram Research}, title={VerifySolutions}, year={1988}, url={https://reference.wolfram.com/language/ref/VerifySolutions.html}, note=[Accessed: 06-December-2024 ]}