91. If $${x^2} + \frac{1}{{{x^2}}} = 66{\text{,}}$$ then the value of $$\frac{{{x^2} - 1 + 2x}}{x}$$ = ?
92. If a2 + a + 1 = 0, then the value of a9 is?
93. If x = -2k and y = 1 - 3k, then for what value of k, will be x = y?
94. If $$x + \frac{1}{x} = 5{\text{,}}$$ then $${x^6}{\text{ + }}\frac{1}{{{x^6}}}$$ is?
95. If x2 - 3x + 1 = 0, then the value of $$\frac{{{x^6} + {x^4} + {x^2} + 1}}{{{x^3}}}$$ will be?
96. If $$\frac{p}{a}$$ + $$\frac{q}{b}$$ + $$\frac{r}{c}$$ = 1 and $$\frac{a}{p}$$ + $$\frac{b}{q}$$ + $$\frac{c}{r}$$ = 0 where p, q, r and a, b, c are non - zero, then value of $$\frac{{{p^2}}}{{{a^2}}}$$ + $$\frac{{{q^2}}}{{{b^2}}}$$ + $$\frac{{{r^2}}}{{{c^2}}}$$ = ?
97. If x is a rational number and $$\frac{{{{\left( {x + 1} \right)}^3} - {{\left( {x - 1} \right)}^3}}}{{{{\left( {x + 1} \right)}^2} - {{\left( {x - 1} \right)}^2}}}$$ = 2, then the sum of numerator and denominator of x is?
98. If $$x = \sqrt 5 + 2{\text{,}}$$ then the value of $$\frac{{2{x^2} - 3x - 2}}{{3{x^2} - 4x - 3}}$$ is equal to?
99. If x2 + y2 + 1 = 2x, then the value of x3 + y5 is?
100. If x(x - 3) = -1, then the value of x3(x3 - 18) is?
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