Suppose that a random number is chosen from the interval (0,2). What is the probability that the quadratic equation 4x^2−x+k=0 has two distinct real roots? ROUND OFF your answer in DECIMAL FORM (4 decimal places)

Suppose that a random number is chosen from the interval (0,2). What is the probability that the quadratic equation 4x^2−x+k=0 has two distinct real roots? ROUND OFF your answer in DECIMAL FORM (4 decimal places)

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.2: Adding And Subtracting Polynomials

Problem 13P

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Question

Suppose that a random number is chosen from the interval (0,2). What is the probability that the quadratic equation 4x^2−x+k=0 has two distinct real roots?

ROUND OFF your answer in DECIMAL FORM (4 decimal places)

Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity

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