Problem 43590. Solve t^(ax^2+bx+c)=s

Created by Andriy Kavetsky

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Solve t^(a*x^2+b*x+c)=s. Return x vector as result.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Example a=1, b=2, c=1, t=3, s=15. Result x(1)= 0.5700 x(2)=-2.5700</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Hint: if we need to solve a*x^2+b*x+c=0 then result will be</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>x(1)=(-b+sqrt(b^2-4*a*c))/(2*a);</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>x(2)=(-b-sqrt(b^2-4*a*c))/(2*a);</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

129 Solutions
43 Solvers

Last Solution submitted on Jan 07, 2021

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

David Verrelli on 3 Jul 2018

The Test Suite only accepts one ordering of the two x values, but the ordering is not explained. See e.g.  Solution 1574317. Either the Test Suite or the Problem Statement needs to be amended. Also, it is recommended that at least four test cases be provided, though more are often necessary to prevent hard-coded workarounds. —DIV

David Verrelli on 3 Jul 2018

Sorry, I suppose the "hint" does suggest that descending order is wanted. However it would still have been beneficial to state it explicitly. —DIV

Problem Recent Solvers43

Problem Tags

equations log

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 43590. Solve t^(ax^2+bx+c)=s

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers43

Suggested Problems

More from this Author37

Problem Tags

Community Treasure Hunt

Problem 43590. Solve t^(a*x^2+b*x+c)=s

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers43

Suggested Problems

More from this Author37

Problem Tags

Community Treasure Hunt

Players

Problem 43590. Solve t^(ax^2+bx+c)=s