Science Bowl Question

📅 NSB MS 2012🎓 MS🔄 Round 17#️⃣ Question 24🌟 BONUS📝 Multiple Choice

Given a is a fixed real number that is greater than one, how many real numbers b are there such that the equation a^x + a^-x = b [a to the power of x plus a to the power of negative x equals b] has a unique real solution x?

W) There are no such values of b
X) There is exactly one such value of b
Y) There are infinitely many such values of b
Z) The number of such values of b depends on the value of a
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