quadratic equation
Squared variable expression
A quadratic equation is an algebraic equation where the highest power of the variable is two: x² + 5x + 6 = 0.
Solving quadratic equations—by factoring, completing the square, or using the quadratic formula—is a cornerstone of high school algebra.
The solutions are called roots, and there are always two, though they may be identical or complex numbers.
Number multiplying a variable
- discriminantFormula determining root nature
- factorizationDecomposing into multiplicative parts
- variableProne to fluctuation
- solutionsAnswers to problems
standard form · binomial · trinomial · exponent · inequality · substitution · simplification · second-degree
Answers to problems
- zerosSymbols for nothing
- discriminantFormula determining root nature
- real rootsAuthentic foundational beginnings
- complex rootsMultifaceted underlying causes
Symmetrical open plane curve
- vertexPoint where edges converge
- axis of symmetryLine dividing congruent halves
- x-interceptsWhere graph meets horizontal
- y-interceptVertical axis crossing point
concave · convex · graphing calculator · coordinate plane · turning point · domain · range · transformation
Parabolic path under gravity
- trajectoryPath of moving object
- optimizationMaximizing efficiency or performance
- physicsScience of matter and energy
- engineeringDesigning functional systems scientifically
profit maximization · freefall · ballistics · architecture · optics · satellite dish · suspension bridge · revenue
coefficient
Number multiplying a variable
- discriminantFormula determining root nature
- factorizationDecomposing into multiplicative parts
- variableProne to fluctuation
solutions · standard form · binomial · trinomial · exponent · inequality · substitution · simplification · second-degree · unknown
solutions
Answers to problems
- zerosSymbols for nothing
- discriminantFormula determining root nature
- real rootsAuthentic foundational beginnings
parabola
Symmetrical open plane curve
- vertexPoint where edges converge
- axis of symmetryLine dividing congruent halves
- x-interceptsWhere graph meets horizontal
y-intercept · concave · convex · graphing calculator · coordinate plane · turning point · domain · range · transformation · stretch
projectile motion
Parabolic path under gravity
- trajectoryPath of moving object
- optimizationMaximizing efficiency or performance
- physicsScience of matter and energy
engineering · profit maximization · freefall · ballistics · architecture · optics · satellite dish · suspension bridge · revenue · cost analysis
- math problemsword problem, story problem, proof, derivation, inequality
- equations
- coordinate geometrycoordinate, coordinates, coordinate plane, coordinate grid, Cartesian plane
quadratic equationdifferential equation
Equation containing derivatives
square, equation, mathematics, mathematical, algebraic, equations, quadratic, quadrate, quadratics