91. If x + y + z = 0, then the value of (x2 + y2 + z2) ÷ (z2 - xy) is:
92. The value of $$\frac{{0.325 \times 0.325 + 0.175 \times 0.175 + 25 \times 0.00455}}{{5 \times 0.0065 \times 3.25 - 7 \times 0.175 \times 0.025}} - \frac{{0.5}}{{1.5}}{\text{is:}}$$
93. If $$\sqrt x + \frac{1}{{\sqrt x }} = 2\sqrt 2 ,$$ then $${x^2} + \frac{1}{{{x^2}}}$$ is equal to:
94. If x4 - 83x2 + 1 = 0, then a value of x3 - x-3 can be:
95. If 1 + 9r2 + 81r4 = 256 and 1 + 3r + 9r2 = 32, then find the value of 1 - 3r + 9r2.
96. If $${x^2} + \frac{1}{{{x^2}}} = \frac{7}{4}$$ for x > 0 then what is the value of $${x^3} + \frac{1}{{{x^3}}} = ?$$
97. If $${y^4} + \frac{1}{{{y^4}}} = 223$$ and y > 1, then find the value of $${y^2} + \frac{1}{{{y^2}}}?$$
98. If x - y + z = 0, then find the value of $$\frac{{{y^2}}}{{2xz}} - \frac{{{x^2}}}{{2yz}} - \frac{{{z^2}}}{{2xy}}?$$
99. If x2 - 5x + 1 = 0, then the value of $$\left( {{x^4} + \frac{1}{{{x^2}}}} \right) \div \left( {{x^2} + 1} \right)$$ is:
100. If a + b + c = 6, a3 + b3 + c3 - 3abc = 342, then what is the value of ab + bc + ca?
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