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quadratic equation

quadratic equation

3 5.1
An equation where the unknown number is multiplied by itself, for example ax² + bx + c = 0
  • noun
  • /kwɒdrætɪk ɪˈkwɛɪʒən/
  • Specialized
translation icon : ecuación cuadrática
  • To find the roots of a quadratic equation, you can use the quadratic formula.
  • solve quadratic equation

Now this is a great visual way to solve a quadratic equation, but it isn't complete.

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Examples

  • "4X - 5X = 0" is a complete quadratic equation.

  • We've solved the quadratic equation by pure geometry.

  • - What is the quadratic equation?

  • This quadratic equation is so hard.

    Fiction book (2002)
  • OK, so this is our best fit quadratic equation through the origin.

  • Make them solve the same quadratic equation using four different strategies.

    Blog text (13)
  • Hi guys, I'm Nancy and I'm going to show you how to solve a quadratic equation by factoring.

  • Remember, every parabola takes down the quadratic equation of AX plus BX plus C, right?

  • In mathematics, the quadratic equation is often expressed as ax² + bx + c = 0.

  • Students learned that the quadratic equation can be graphed as a parabola.

Synonyms

quadratic
vsquadratic equation
  • Specialized
7.0

An equation where the variable appears as a squared term

is specifically written with the expression set equal to zero
quadratic polynomial
vsquadratic equation
  • Specialized
7.7

A math expression with x squared, x, and a number where the x squared part is not zero

is the same form but written with the expression set equal to zero

Surface Forms

Morphology

quadratic + equation

This term is fully compositional: 'quadratic' denotes 'second-degree' (related to a square) and 'equation' is a mathematical sentence, so a quadratic equation is simply an equation of second degree (e.g. ax²+bx+c=0). The mathematical naming pattern is regular and cross-linguistically familiar, so a learner who knows both constituents can infer the meaning.

Etymology

Quadratic equation comes from a word meaning 'square'. Quadratic points to x squared, which is x times x, and equation means a statement where two things are equal, so quadratic equation means 'an equation where the unknown is squared'.