quadratic

Meanings

• noun

  A mathematical expression consisting of a term squared and constant terms. The general form is ax² + bx + c.

• adjective

  Relating to or denoting a polynomial or a term of the second degree.

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Rhymes

Words rhyming with quadratic
quasher , rasher , casher

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Variants

List of all variants of quadratic that leads to same result
quadratic , quadratical , quadratically , quadratics , quadratic equation , quadratic equations , quadratic form , quadratic forms , quadratic formula , quadratic formulas

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Etymology

origin and the way in which meanings have changed throughout history.

From the Latin quadrātus, meaning 'square'.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The quadratic equation x² + 2px + p² = 0 has exactly two real roots if p > 0, one real root if p = 0, and no real roots if p < 0.

2. The quadratic formula, x = (-b ± √(b²-4ac)) / 2a, can be used to find the roots of a quadratic equation.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Quadratic formula: A solution to find the roots of a quadratic equation.

2. Quadratic equation solver: A mathematical method or tool to find the solutions of a quadratic equation.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

Quadratic equations have been studied since ancient times and have applications in various fields such as physics, engineering, and finance. They are used to model real-world situations and find solutions to problems.

How to Memorize "quadratic"

1. visualize
   

   - Imagine a parabola, which is a graphical representation of a quadratic equation. Visualize the shape, the x and y-intercepts, and the vertex.

2. associate
   

   - Associate the word 'quadratic' with the number 2, as the degree of a quadratic equation is always 2.

3. mnemonics
   

   - Use the mnemonic 'Quadruple A' to remember the steps for factoring a quadratic trinomial: a² + bx + c = (x + p)² = x² + 2px + p²

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