111. If $$x + \frac{1}{x} = 2,$$ x ≠ 0, then the value of $${x^2}{\text{ + }}\frac{1}{{{x^3}}}$$ is equal to?
112. If $${\left( {x + \frac{1}{x}} \right)^2} = 3{\text{,}}$$ then the value of (x72 + x66 + x54 + x24 + x6 + 1) is?
113. If a3 - b3 = 56 and a - b = 2, then the value of a2 + b2 will be?
114. If $$x + \frac{1}{x} = 5{\text{,}}$$ then the value of $$\frac{{{x^4} + 3{x^3} + 5{x^2} + 3x + 1}}{{{x^4} + 1}} = ?$$
115. If x is real, $$x + \frac{1}{x} \ne 0$$ and $${x^3}{\text{ + }}\frac{1}{{{x^3}}} = 0{\text{,}}$$ then the value of $${\left( {x + \frac{1}{x}} \right)^4}\,{\text{is?}}$$
116. If $$x + \frac{1}{x} = 3{\text{,}}$$ then the value of $$\left( {{x^5} + \frac{1}{{{x^5}}}} \right)\,{\text{is?}}$$
117. If $$x - \frac{1}{x} = 3{\text{,}}$$ then the value of $${x^3} - \frac{1}{{{x^3}}}\,{\text{is?}}$$
118. If x + y + z = 6, then the value of (x - 1)3 + (y - 2)3 + (z - 3)3 is?
119. If a + b = 1 and a3 + b3 + 3ab = k, then the value of k is?
120. The lines 2x + y = 5 and x + 2y = 4 intersect at the point?
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