If x2 – 4x + 1 = 0, then what is the value of x9 + x7 – 194x5 – 194x3?
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If [a + (1/a)]2 – 2[a – (1/a)] = 12, then which of the following is a value of 'a'?
If x = (a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then what is the value of xyz – x2 – y2 – z2?
If x = 2 +√3, y = 2 – √3 and z = 1, then what is the value of (x/yz) + (y/xz) + (z/xy) + 2 [(1/x) + (1/y) + (1/z)]?
If x = (√5) + 1 and y = (√5) – 1, then what is the value of (x2/y2) + (y2/x2) + 4[(x/y) + (y/x)] + 6?
If P = 7 + 4√3 and PQ = 1, then what is the value of (1/P2) + (1/Q2)?
If (333 + 333 + 333) (233 + 233) = 6x, then what is the value of x?
If the least common multiple of two numbers, 1728 and K is 5184, then how many values of K are possible?
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