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Untitled Quiz

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Questions and Answers

What type of equation is 5x^4 + 2x + 3 = 0?

  • Polynomial equation of order 4
  • Quadratic equation
  • Linear equation of order 4 (correct)
  • Nonlinear equation
  • Which equation includes nonlinear terms?

  • x^2 - 4x + 4 = 0
  • 2x + 3 = 0
  • 2sin(x) - 3x - 4 = 0 (correct)
  • 3x^3 - x + 5 = 0
  • What is the method called that ensures a continuous function has a root between two values?

  • Intermediate value theorem (correct)
  • Newton-Raphson method
  • Incremental method
  • Bracketing method
  • What is the quadratic formula used to find the roots of a quadratic equation?

    <p>x = -b ± √(b^2 - 4ac) / 2a</p> Signup and view all the answers

    What are the roots of the equation x^2 - x + 1 = 0 shown using the bracketing method?

    <p>x = (1 ± √(-3)) / 2</p> Signup and view all the answers

    In the context of the bracketing method, what is a root of an equation?

    <p>A point where the function equals zero</p> Signup and view all the answers

    Which of the following is NOT a nonlinear term?

    <p>5x + 3</p> Signup and view all the answers

    What does the bracketing method primarily rely on?

    <p>Demonstrating that a function is continuous within an interval</p> Signup and view all the answers

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