51. If $$x = \frac{{\sqrt 3 }}{2}{\text{,}}$$ then the value of $$\left( {\frac{{\sqrt {1 + x} + \sqrt {1 - x} }}{{\sqrt {1 + x} - \sqrt {1 - x} }}} \right)\,{\text{is}} = ?$$
52. If $${4^{4x + 1}} = \frac{1}{{64}}{\text{,}}$$ then the value of x is?
53. If $${\left( {\sqrt 5 } \right)^7} \div {\left( {\sqrt 5 } \right)^5} = {{\text{5}}^{\text{P}}}{\text{,}}$$ then the value of P is?
54. If 1.5a = 0.04b then $$\frac{{b - a}}{{b + a}}$$ is equal to?
55. If $$\frac{{{x^2} - x + 1}}{{{x^2} + x + 1}} = \frac{3}{2}{\text{,}}$$ then the value of $$\left( {x + \frac{1}{x}} \right){\text{is?}}$$
56. If $$x = 3 + \sqrt 8 {\text{,}}$$ then $${x^2} + \frac{1}{{{x^2}}}$$ is equal to?
57. If $$x = 5 + 2\sqrt 6 {\text{,}}$$ then the value of $$\left( {\sqrt x + \frac{1}{{\sqrt x }}} \right)\,{\text{is?}}$$
58. If $$x + \frac{9}{x} = 6{\text{,}}$$ then $$\left( {{x^2} + \frac{9}{{{x^2}}}} \right)$$ is equal to?
59. If $$x + \frac{1}{x} = 3{\text{,}}$$ then the value of $$\frac{{{x^3} + \frac{1}{x}}}{{{x^2} - x + 1}}\,{\text{is?}}$$
60. If $$a + \frac{1}{a} + 1 = 0\left( {a \ne 0} \right){\text{,}}$$ then the value of $$\left( {{a^4} - a} \right)\,{\text{is?}}$$
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