The value of
is:
If x2 - 3x + 1 = 0, then the value of \(2\left(x^{8}+\dfrac{1}{x^{8}}\right)-5\left(x^{2}+\dfrac{1}{x^{2}}\right)\) is:
If x - y - z = 0, then the value of \((x^{2}+y^{2}+z^{2}) \div (y^{2}+xz)\) is:
If \(x^{4}+\dfrac{1}{x^{4}} = 6887\), then the positive value of \(x - \dfrac{1}{x}\) is:
If a + b + c = 5 and a3 + b3 + c3 − 3abc = 185, then the value of ab + bc + ca lies between: