How Do You Spell DISCRIMINANT?

Pronunciation: [dɪskɹˈɪmɪnənt] (IPA)

The spelling of the word "discriminant" can be confusing due to its multiple syllables and silent letters. According to the IPA phonetic transcription, the word is spelled as /dɪˈskrɪmɪnənt/. The "sc" combination in the middle of the word is pronounced as "sk," while the "i" after "sc" is pronounced as "ɪ." The final "t" in "discriminant" is silent, which may trick some spellers. Overall, the word "discriminant" presents a challenge to spellers due to its complex and unconventional spelling.

DISCRIMINANT Meaning and Definition

  1. A discriminant refers to a mathematical term commonly used in algebra and calculus to determine the nature of solutions or roots of a quadratic equation. It is a specific expression derived from the coefficients of the quadratic equation and is represented by the symbol Δ (delta). The discriminant provides essential information regarding the type and quantity of solutions that the quadratic equation possesses.

    In a standard quadratic equation of the form ax² + bx + c = 0, the discriminant is given by the formula Δ = b² - 4ac. The discriminant helps classify the solutions into three distinct categories based on its value. If the discriminant is positive (Δ > 0), then the quadratic equation has two real and distinct solutions. If the discriminant is zero (Δ = 0), the equation has one real solution referred to as a double root. If the discriminant is negative (Δ < 0), there are no real solutions, but instead, the equation has two complex roots that come in pairs.

    In addition to its significance in identifying the solutions of a quadratic equation, the discriminant can also be used to determine other traits of the equation, such as its graph shape and the presence of symmetry. The discriminant plays a fundamental role in understanding and solving quadratic equations while providing insight into the nature of their solutions.

Top Common Misspellings for DISCRIMINANT *

* The statistics data for these misspellings percentages are collected from over 15,411,110 spell check sessions on www.spellchecker.net from Jan 2010 - Jun 2012.

Other Common Misspellings for DISCRIMINANT

Etymology of DISCRIMINANT

The word "discriminant" has its origin in the Latin term "discriminare", which means to distinguish or differentiate. It is derived from the Latin word "discrimen", which means "distinction" or "difference". The word "discriminant" entered the English language in the mid-17th century, specifically in the field of mathematics, where it refers to a mathematical expression used to determine the nature of roots or solutions in an equation.

Plural form of DISCRIMINANT is DISCRIMINANTS

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