quadric

Meanings

• noun

  A quadratic equation is an equation of the second degree, i.e., an equation in which the highest power of the variable is 2.

  - "The quadratic equation x^2 + 4x + 4 = 0 has solutions x = -2 and x = 2."
  - "The graph of the quadratic equation y = x^2 intersects the x-axis at x = -1 and x = 1."

• noun

  A quadric is a geometric surface of the second degree, i.e., the graph of a quadratic equation in three variables.

  - "The ellipsoid is a quadric surface."
  - "A parabolic mirror is a quadric surface used to focus light."

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Rhymes

Words rhyming with quadric
square , squareware

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Variants

List of all variants of quadric that leads to same result
quadric , quadrics

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Etymology

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

Derived from the Latin 'quadratus,' meaning 'square,' due to the geometric nature of quadratic equations and quadric surfaces.

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Trivia

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

1. Did you know that the quadratic formula was discovered by the ancient Indians around 1500 BC?

2. The quadratic equation x^2 + 1 = 0 has no real solutions, but it does have two complex solutions: i and -i.

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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 formula used to find the solutions of quadratic equations in terms of the coefficients a, b, and c of the equation ax^2 + bx + c = 0.

2. Quadratic function: A function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

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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 and quadric surfaces have played a significant role in mathematics and physics. Quadratic equations have applications in various fields, such as finance, engineering, and physics. Quadric surfaces are used in geometry, computer graphics, and physics.

How to Memorize "quadric"

1. visualize
   

   - Imagine a parabola, the graph of a quadratic equation in two variables. Visualize the vertex, the axis of symmetry, and the mirror symmetry.
   - For a quadratic equation in three variables, imagine a 3D graph with the same properties.

2. associate
   

   - Associate the term 'quadratic' with 'square,' as a reminder of the degree of the equations and surfaces.
   - Remember that a 'quadratic equation' is an equation of the second degree, and a 'quadric surface' is the graph of a quadratic equation in three variables.

3. mnemonics
   

   - Use the mnemonic 'Quadratic equals squares and squares and squares,' to remember the degree of quadratic equations.
   - For quadric surfaces, remember that they are the graphs of quadratic equations in three variables.

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