Find the probability that the quadratic polynomial Ax2 +Bx+ 1, where the coecients A and

Chapter 7, Problem 21

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Find the probability that the quadratic polynomial Ax2 +Bx+ 1, where the coecients A and B are determined by drawing i.i.d. Unif(0, 1) random variables, has at least one real root. Hint: By the quadratic formula, the polynomial ax2 + bx + c has a real root if and only if b2 4ac 0.

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