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jayda

  • one year ago

Evaluate the discriminant of 25x2 + 350x + 49 = 0. Tell how many solutions the equation has and whether the solutions are real or imaginary. A. one real solution B. two imaginary solutions C. two real solutions D. cannot be determined

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  1. NotTim
    • one year ago
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    wat u think first

  2. jayda
    • one year ago
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    i honestly dont have a clue! ha

  3. NotTim
    • one year ago
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    oh shoot i forgot too. wats discriminant

  4. jayda
    • one year ago
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    i really dont know

  5. binarymimic
    • one year ago
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    \[x = \frac{ -b \pm \sqrt{b^{2} - 4ac} }{ 2a }\] the discriminant is \[\sqrt{b^{2} - 4ac}\] because it can be used to discriminate between solutions.

  6. NotTim
    • one year ago
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    oh. that's relatively simple then. Here's a hint: ax^2-bx-c=0 (minus sign is just there; it doesn't matter). works in conjunction with binarymimic's comment.

  7. AccessDenied
    • one year ago
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    The discriminant is actually a bit simpler, it's the radicand of that expression: \(b^2 - 4ac\) It is useful because the sign on it tells us whether there is a positive number or negative number under the radical. In the case of a positive, we have two real roots. In the case of a negative, we have two imaginary / complex roots. If we have 0, then we have a single root that is repeated. ((-b +- 0) / (2a))

  8. ParthKohli
    • one year ago
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    Actually, the discriminant is just \(b^2 - 4ac\).

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