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🇬🇧English to English[poz-i-tiv root ov eks-skwared may-nus fayv eks may-nus thur-tee-siks ee-kwulz zee-ro]

positive root of x² - 5x - 36 = 0

/ˈpɒz.ɪ.tɪv ruːt əv ɛks skweərd maɪnəs faɪv ɛks maɪnəs θɜːr.ti sɪks ˈiːkwəlz ˈzɪə.roʊ/advanced Level

English Meaning & Definitions

1.noun

The numerical value 9, which satisfies the quadratic equation x² - 5x - 36 = 0 and is greater than zero.

Example Sentences:
  • By factoring the quadratic equation, we determined that the positive root of x² - 5x - 36 = 0 is 9.
  • In the context of the equation, the positive root of x² - 5x - 36 = 0 represents the primary solution for geometric dimensions.
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English Synonyms & Near Equivalents

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Comprehensive Thesaurus Breakdown

Compare formal, informal, literary synonyms and register nuances for “positive root of x² - 5x - 36 = 0”.

Thesaurus Entry
Cultural Origin & Etymology

The term 'positive root' derives from the Latin 'positivus' (formally placed) and 'radix' (root), referring to the value of a variable that satisfies an equation. The quadratic equation x² - 5x - 36 = 0 is solved using the quadratic formula or factoring (x-9)(x+4)=0, where 9 is the positive root.

Memory Aid & Mnemonic

Think of '9' as the 'positive' answer because it is greater than zero, unlike its negative counterpart -4.

Frequently Asked Questions About “positive root of x² - 5x - 36 = 0

1. What is the meaning of “positive root of x² - 5x - 36 = 0” in English?

In English, positive root of x² - 5x - 36 = 0 (noun) is defined as: “The numerical value 9, which satisfies the quadratic equation x² - 5x - 36 = 0 and is greater than zero.”.

2. How do you use “positive root of x² - 5x - 36 = 0” in a sentence?

By factoring the quadratic equation, we determined that the positive root of x² - 5x - 36 = 0 is 9.

3. What are English synonyms of “positive root of x² - 5x - 36 = 0”?

Common synonyms include:nine,the value 9,the positive solution

4. What is the etymology and word origin of “positive root of x² - 5x - 36 = 0”?

The term 'positive root' derives from the Latin 'positivus' (formally placed) and 'radix' (root), referring to the value of a variable that satisfies an equation. The quadratic equation x² - 5x - 36 = 0 is solved using the quadratic formula or factoring (x-9)(x+4)=0, where 9 is the positive root.