71. If $$\left( {0.4x + \frac{1}{x}} \right) = 5,$$ what is the value of $$\left( {0.064{x^3} + \frac{1}{{{x^3}}}} \right)?$$
72. If x + y + z = 0, then what is the value of $$\frac{{xy + yz + zx}}{{{x^2} + {y^2} + {z^2}}}?$$
73. If P = 7 + 4√3 and PQ = 1, then what is the value of $$\frac{1}{{{P^2}}} + \frac{1}{{{Q^2}}}?$$
74. 553 + 173 - 723 + 201960 is equal to
75. If (a - b) = 4 and ab = 2, then (a3 - b3) is equal to:
76. If x + y + z = 19, x2 + y2 + z2 = 133 and
xz = y2, then the difference between z and x is:
77. If $$a - \frac{1}{{a - 5}} = 10$$ , then the value of $${\left( {a - 5} \right)^3} - \frac{1}{{{{\left( {a - 5} \right)}^3}}}$$ is:
78. If x2 - 16x + 59 = 0, then what is the value of $${\left( {x - 6} \right)^2} + \frac{1}{{{{\left( {x - 6} \right)}^2}}}?$$
79. If x = √5 + 1 and y = √5 - 1, then what is the value of $$\frac{{{x^2}}}{{{y^2}}} + \frac{{{y^2}}}{{{x^2}}} + 4\left[ {\frac{x}{y} + \frac{y}{x}} \right] + 6?$$
80. If a3 + 3a2 + 9a = 1, then what is the value of $${a^3} + \frac{3}{a}?$$
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