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Question 18 (2 Points) For Which Value of "c" Will the Equation Below Have Two Distinct Real Roots? 4x^2-4x+c=0 4 B 1 C -2 D 2

Question

Question 18 (2 points) For which value of "c" will the equation below have two distinct real roots? 4x^2-4x+c=0 4 b 1 C -2 d 2

Solution

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Resposta

To determine the value of "c" for which the quadratic equation has two distinct real roots, we need to consider the discriminant of the quadratic equation. The discriminant is given by the formula , where , , and are the coefficients of the quadratic equation.For the quadratic equation , we have:- - - (the value we need to find)The discriminant is: For the equation to have two distinct real roots, the discriminant must be greater than zero: Solving for : Therefore, the value of must be less than 1 for the equation to have two distinct real roots. Among the given options, the correct answer is:b) 1