quadratic formula
Second-degree solution
The quadratic formula is a mathematical expression that solves any quadratic equation of the form ax² + bx + c = 0.
The formula, x = (−b ± √(b² − 4ac)) / 2a, yields the values of x where a parabola crosses the x-axis.
Students typically memorize it in algebra class: Just plug the coefficients into the quadratic formula.
Formula determining root nature
- coefficientsNumerical multipliers in expressions
- polynomialExpression with variable terms
- trinomialExpression with three terms
- binomialExpression with two terms
standard form · factorization · variable · exponent · degree · algebraic expression · radical sign · second-degree
Underground nutrient absorbers
- zeroesNumerals representing absence
- x-interceptsWhere graph meets horizontal
- discriminantFormula determining root nature
- substitutionExchange of one for another
Point where edges converge
- axis of symmetryLine dividing congruent halves
- graphVisual data display
- curveSmooth, angleless line
- focusConcentrated attention point
directrix · conic section · minimum · maximum · y-intercept · x-intercepts · concavity · turning point
Parabolic path under gravity
- optimizationMaximizing efficiency or performance
- word problemsMath in narrative form
- trajectoryPath of moving object
- profit maximizationPursuing greatest possible gains
Demonstration of truth
- algebraic manipulationRestructuring mathematical expressions
- rearrangementAltered ordering of elements
- mathematical proofLogical demonstration of truth
discriminant
Formula determining root nature
- coefficientsNumerical multipliers in expressions
- polynomialExpression with variable terms
- trinomialExpression with three terms
binomial · standard form · factorization · variable · exponent · degree · algebraic expression · radical sign · second-degree · middle term
roots
Underground nutrient absorbers
- zeroesNumerals representing absence
- x-interceptsWhere graph meets horizontal
- discriminantFormula determining root nature
vertex
Point where edges converge
- axis of symmetryLine dividing congruent halves
- graphVisual data display
- curveSmooth, angleless line
focus · directrix · conic section · minimum · maximum · y-intercept · x-intercepts · concavity · turning point · coordinate plane
projectile motion
Parabolic path under gravity
- optimizationMaximizing efficiency or performance
- word problemsMath in narrative form
- trajectoryPath of moving object
profit maximization · engineering · ballistics · satellite dishes
proof
Demonstration of truth
- algebraic manipulationRestructuring mathematical expressions
- rearrangementAltered ordering of elements
- mathematical proofLogical demonstration of truth
- algebravariables, equations, equation, polynomials, algebraic equations
- mathaddition, subtraction, multiplication, division, algebra
- equationsalgebraic equation, balanced equation, chemical equation, algebraic equations, polynomial equation
- Formulaspercent change, E=mc2, PV=nRT, Pythagorean theorem, ideal gas law
- polynomialspolynomial, polynomials, binomial, monomial, binomials
- root findingbracketing
quadratic formulafactoring
Breaking into multiplicative parts
trial and error · completing the square · guess and check · brute force · estimation
square, formula, formulas, quadratic, formulae, quadrate, quadratics, quadratic equation