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JocelynHernandez

  • 2 years ago

How would you describe the roots of a quadratic equation?

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  1. JocelynHernandez
    • 2 years ago
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    Like: \[\frac{ -3\pm \sqrt{17} }{ 4 }\]

  2. mathmate
    • 2 years ago
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    Graphically, they (real zeroes) cross the x-axis. If the zeroes are complex, they do not touch the x-axis.. Numerically, the roots, x1 and x2, have the property that f(x1)=0 and f(x2)=0, where f(x)=0 is the quadratic equation.

  3. rizwan_uet
    • 2 years ago
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    |dw:1358090824515:dw|

  4. rizwan_uet
    • 2 years ago
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    |dw:1358090914575:dw|

  5. rizwan_uet
    • 2 years ago
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    the roots describe the values of x for which the required quadratic function's value is zero.

  6. hba
    • 2 years ago
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    Actually we use the discriminant to determine, \[\huge\ D=b^2-4ac\]

  7. JocelynHernandez
    • 2 years ago
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    @hba Thats what i got as the discriminant

  8. hba
    • 2 years ago
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    \[b^2-4ac>0,two \ real \ solutions\]\[b^2-4ac=perfect \ squar e ,Two \ real \ rational \ solutions\]

  9. hba
    • 2 years ago
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    If, \[b^2-4ac= no \ perfect \ sq uare,Two \ real \ irrational \ solutions\]

  10. hba
    • 2 years ago
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    \[b^2-4ac=0,One \ real \ solution\]

  11. hba
    • 2 years ago
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    \[b^2-4ac<0,No \ real \ but \ two \ imaginary \ solutions\]

  12. JocelynHernandez
    • 2 years ago
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    Thanks! @hba

  13. hba
    • 2 years ago
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    You are welcome :)

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