81. If 3x + 4y - 2z + 9 = 17, 7x + 2y + 11z + 8 = 23 and 5x + 9y + 6z - 4 = 18, then what is the value of x + y + z - 34?
82. Given that x8 - 34x4 + 1 = 0, x > 0, what is the value of (x3 + x-3)?
83. If $${x^4} + \frac{1}{{{x^4}}} = \frac{{257}}{{16}},$$ then find $$\frac{8}{{13}}\left( {{x^3} + \frac{1}{{{x^3}}}} \right),$$ where x > 0.
84. If $$x + \frac{1}{x} = 3,$$ x ≠ 0 then the value of $${x^7} + \frac{1}{{{x^7}}}$$ is
85. If a2 + b2 + c2 = 6.25 and (ab + bc + ca) = 0.52, what is the value of (a + b + c), if (a + b + c) < 0?
86. If (x + y)3 - (x - y)3 - 3y(2x2 - 3y2) = ky3, then find the value of k.
87. If $${x^2} + \frac{1}{{{x^2}}} = 38,$$ then what is the value of $$\left( {x - \frac{1}{x}} \right)?$$
88. If 5√5x3 + 2√2y3 = (Ax + √2y)(Bx2 + 2y2 + Cxy), then the value of (A2 + B2 - C2) is:
89. If A = 1 + 2P and B = 1 + 2-P, then what is the value of B?
90. If $$x + \frac{1}{x} = 8,$$ then find the value of $$\frac{{5x}}{{{x^2} + 1 - 6x}}.$$
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