In the given figure, ABCD is a square, BCXYZ is a regular pentagon and ABE is an equilateral triangle. What is the value in deg of EBZ?
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If [√(a2 + b2 + ab)] + [√(a2 + b2 – ab)] = 1, then what is the value of (1 – a2 )(1 – b2 )?
If the roots of the equation a(b – c)x2 + b(c – a)x + c(a – b) = 0 are equal, then which of the following is true?
If a + a2 + a3 – 1 = 0, then what is the value of a3 + (1/a)?
If x + (1/x) = (√3 + 1)/2, then what is the value of x4 + (1/x4)?
If x and y are natural numbers such that x + y = 2017, then what is the value of (– 1)x+ (– 1)y?
If α and β are the roots of the equation x2+ x – 1 = 0, then what is the equation whose roots are α5 and β5?
p3 + q3 + r3 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 – 3abc?
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