Consider the equation x^2 + x − 8 = 0. This equation has exactly one positive real solution α. (You do not have to show this.) (i) Use the Intermediate Value Theorem to show that α lies in the interval [2, 3] ii) Suppose the bisection method is used to nd an approximation for α, starting with the initial interval [2, 3]. In this case, determine how many iterations of the bisection method are required in order for the approximation found to be within 0.01 of the correct value for α

Which of the following statements is true? a. the irrational number system is not closed under multiplication, because the product of two irrational numbers is always a rational number. b. the irrational number system is not closed under multiplication, because the product of two irrational numbers is not always an irrational number. c. the irrational number system is closed under multiplication, because the product of two irrational numbers is always an irrational number. d. the irrational number system is closed under multiplication, because the product of two irrational numbers is always a rational numbers. reset submit