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apple_pi

  • 2 years ago

Roots of quadratic:

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  1. apple_pi
    • 2 years ago
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    if α and β are the roots of equation 4x^2 - 2x - 1 = 0, find α - β

  2. RadEn
    • 2 years ago
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    use formula : α - β = | (sqrt(D)/a) | with D=b^2-4ac

  3. apple_pi
    • 2 years ago
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    oh yeah... forgot to put - without finding the roots So like using αβ = c/a and α+β=-b/a

  4. RadEn
    • 2 years ago
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    right, but ur problem to find value of α - β?

  5. apple_pi
    • 2 years ago
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    yes. find α - β

  6. RadEn
    • 2 years ago
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    we know that general form of a quadratic equation is ax^2+bx+c=0 so, we can find α - β with formula : α - β = abs(sqrt(D)/a)

  7. ParthKohli
    • 2 years ago
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    You can always count on finding the roots and assuming them as \(\alpha, \beta\).

  8. ParthKohli
    • 2 years ago
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    \[x = {2 \pm \sqrt{4 - 4(4)(-1)} \over 8}\]

  9. apple_pi
    • 2 years ago
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    @ParthKohli, without finding roots

  10. RadEn
    • 2 years ago
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    yea, right to.. but should use absolut sign because not known α > β or α < β

  11. apple_pi
    • 2 years ago
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    yeah ok

  12. RadEn
    • 2 years ago
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    so, what ur answer ?

  13. apple_pi
    • 2 years ago
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    1.128

  14. RadEn
    • 2 years ago
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    yea, or (sqrt(5))/2 ?

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