Science Bowl Question

📅 NSB MS 2012🎓 MS🔄 Round 17#️⃣ Question 24❓ TOSS-UP📝 Multiple Choice

How many real numbers b are there such that the equation 3^x + 3^-x = b [3 to the power of x plus 3 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 exactly two such values of b
Z) There are infinitely many such values of b
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