Ask Question
7 November, 00:39

State the value of the discriminant. Then determine the number of real roots of the equation. n (7n + 8) = - 10

a. - 216, 0 real roots

b. 24, 2 real roots

c. - 226, 2 real roots

d. - 272, 0 real roots

+3
Answers (1)
  1. 7 November, 04:10
    0
    a. - 216, 0 real roots

    Step-by-step explanation:

    The discriminant of ...

    ax² + bx + c = 0

    is ...

    d = b² - 4ac

    When we put your equation into the standard form shown above, we get ...

    7n² + 8n + 10 = 0

    Then we can identify a=7, b=8, c=10. The discriminant is then ...

    d = 8² - 4·7·10 = 64 - 280 = - 216

    ___

    The interpretation of the discriminant is ...

    <0; no real roots (2 complex one real root (multiplicity 2) > 0; 2 real roots

    Your discriminant is - 216, so there are 0 real roots.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “State the value of the discriminant. Then determine the number of real roots of the equation. n (7n + 8) = - 10 a. - 216, 0 real roots b. ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers