algebraically
Through equation manipulation
Algebraically describes doing something using the methods and symbols of algebra—the branch of mathematics that uses letters and symbols to represent numbers and quantities in equations.
When you solve a problem algebraically, you manipulate equations and expressions rather than relying on arithmetic, geometry, or numerical approximation.
The equation can be solved algebraically or graphically.
In casual use, algebraically sometimes just means mathematically or by calculation: It doesn't add up, algebraically speaking.
Find the answer
- variablesChangeable elements in equations
- quadraticInvolving squared terms
- polynomialExpression with variable terms
- linearArranged in straight succession
factor · simplify · coefficient · expression · roots · binomial · trinomial · exponent
Accepted without question
- theoremDemonstrated logical conclusion
- corollaryLogical natural consequence
- lemmaBase form, or helper theorem
- deductionConclusion from premises
logical · derive · demonstrate · verify · conjecture · postulate · reasoning · inference
Collections of related things
- ringsCircular bands worn
- fieldsExpanses for cultivation
- isomorphismStructure-preserving bijective map
- invariantsQuantities that remain unchanged
set theory · topology · modules · lattices · subgroups · quotients · kernels
System of written symbols
- symbolsMarks conveying meaning
- expressionsOutward manifestations of feeling
- manipulationUnderhanded control of others
- termsConditions of an agreement
identities · commutative · associative · distributive · literal · formulas · represent · abstract
solve
Find the answer
- variablesChangeable elements in equations
- quadraticInvolving squared terms
- polynomialExpression with variable terms
linear · factor · simplify · coefficient · expression · roots · binomial · trinomial · exponent · radical
axiomatic
Accepted without question
- theoremDemonstrated logical conclusion
- corollaryLogical natural consequence
- lemmaBase form, or helper theorem
deduction · logical · derive · demonstrate · verify · conjecture · postulate · reasoning · inference · propositional
groups
Collections of related things
- ringsCircular bands worn
- fieldsExpanses for cultivation
- isomorphismStructure-preserving bijective map
invariants · set theory · topology · modules · lattices · subgroups · quotients · kernels
notation
System of written symbols
- symbolsMarks conveying meaning
- expressionsOutward manifestations of feeling
- manipulationUnderhanded control of others
terms · identities · commutative · associative · distributive · literal · formulas · represent · abstract · generalize
algebraicallynumerically
By way of figures
geometrically · graphically · visually · arithmetically · pictorially
algebraicallynumerically
By way of figures
arithmetically · computationally · iteratively · approximately · empirically