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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?

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

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

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

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

A point where the function equals zero Signup and view all the answers

Which of the following is NOT a nonlinear term?

5x + 3 Signup and view all the answers

What does the bracketing method primarily rely on?

Demonstrating that a function is continuous within an interval Signup and view all the answers

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Questions and Answers

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

Which equation includes nonlinear terms?

What is the method called that ensures a continuous function has a root between two values?

What is the quadratic formula used to find the roots of a quadratic equation?

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

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

Which of the following is NOT a nonlinear term?

What does the bracketing method primarily rely on?

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