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aceace

  • 2 years ago

Absolute Value Question!!!

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  1. aceace
    • 2 years ago
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    \[\left| x^2 -1 \right| \le 4\]

  2. Ammarah
    • 2 years ago
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    Find the vlue of x

  3. aceace
    • 2 years ago
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    i got x is less than or equal to root 5 / x is greater than or equal to root negative 3

  4. Ammarah
    • 2 years ago
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    Could u give me a medal first plese

  5. aceace
    • 2 years ago
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    How do you do this question? O.o

  6. Ammarah
    • 2 years ago
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    Medal first please i onlybhelp ppl who give medals

  7. aceace
    • 2 years ago
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    Are meant to give medals first?

  8. Sqrt
    • 2 years ago
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    no u answer first then get medals -_______________-

  9. Ammarah
    • 2 years ago
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    Ok so u know absolute value is always positive right?

  10. aceace
    • 2 years ago
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    yah

  11. Sqrt
    • 2 years ago
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    The number is not necessarily positive, but the definition is the value by which the number is farthest from zero (distance). Eg 1 and -1 both are 1 unit away from zero. That is why it is represented as a positive number. Also, distance can't be represented as a negative number. (e.g. You can't be -5 km away from home.)

  12. Hero
    • 2 years ago
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    |x² - 1| ≤ 4 -4 ≤ x² - 1 ≤ 4 -4 + 1 ≤ x² ≤ 4 + 1 -3 ≤ x² ≤ 5 √3 i ≤ x ≤ √5

  13. Hero
    • 2 years ago
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    Since √3i does not represent distance, the solution should only be written as x ≤ √5

  14. aceace
    • 2 years ago
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    what about minus root five?

  15. Hero
    • 2 years ago
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    There is no minus root 5

  16. Sqrt
    • 2 years ago
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    "There is actually no such thing as a plus-or-minus square root: it is merely language used to save words. For example, the equation x²=9 has two solutions, which are x=3 and x=-3. It is tedious to say: “since x²=9, x must be 3 or -3″. As a shortcut, we say: “since x²=9, x must be ±3.” http://www.xamuel.com/plus-or-minus-square-roots/

  17. Hero
    • 2 years ago
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    |x² - 1| ≤ 4 -4 ≤ x² - 1 ≤ 4 -4 + 1 ≤ x² ≤ 4 + 1 -3 ≤ x² ≤ 5 -√5 ≤ x ≤ √5

  18. Hero
    • 2 years ago
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    That should be it

  19. Sqrt
    • 2 years ago
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    |x² - 1| ≤ 4 x²≤ 4+1 x²≤5 √x²≤√5 x≤√5

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