Solve ) omega/((b ^ 2 - a ^ - 2) ^ b * (b + a ^ - 1) ^ (a - b)); x = a ^ (q + r) * b ^ p; y = a ^ (r + p) * b ^ q; z = a ^ (p + q) * b ^ r * 2a, x ^ (4 ^ (- r)) * y ^ (r - r); a ^ p = b; b' = c; c ^ (r') = a*\mathfrak{R}, pqr = 1; a ^ x = p; a ^ (y') = q এবং a ^ 2 = (p ^ y * q ^ x) ^ x হয়, তবে xyz = 1

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Question

$$\left. \begin{array} { l } { \frac { 1 } { \sqrt { 3 } } } \\ { \sqrt { 5 } ( x - y ) = ( - x ^ { 2 } ) ( - 1 ) ^ { 2 } = } \\ { x ^ { 2 } - ( x ^ { 2 } + x ) - y ^ { 2 } = - ( - x ) ^ { 2 } + ( x + y ) ^ { 2 } = 1 - \right.$$

Solve for x, y, z

$x=0\text{, }y=0\text{, }z=\frac{\sqrt{3}}{3}\approx 0.577350269$
$x=\frac{\sqrt{15}\left(\sqrt{3}\sin(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})+\cos(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})\right)-3\sqrt{5}}{3}\approx -0.312431232\text{, }y=\frac{\sqrt{5}\left(\sqrt{15}\left(\sqrt{3}\sin(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})+\cos(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})\right)-3\sqrt{5}\right)^{2}+15\sqrt{15}\left(\sqrt{3}\sin(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})+\cos(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})\right)-45\sqrt{5}}{45}\approx -0.268777248\text{, }z=\frac{\sqrt{3}}{3}\approx 0.577350269$
$x=\frac{-2\sqrt{15}\cos(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})-3\sqrt{5}}{3}\approx -4.689434624\text{, }y=\frac{2\cos(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})\left(2\sqrt{5}\cos(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})+\sqrt{15}\right)}{3}\approx 5.145148812\text{, }z=\frac{\sqrt{3}}{3}\approx 0.577350269$
$x=\frac{\sqrt{15}\left(-\sqrt{3}\sin(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})+\cos(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})\right)-3\sqrt{5}}{3}\approx -1.706338077\text{, }y=\frac{\sqrt{5}\left(\sqrt{15}\left(-\sqrt{3}\sin(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})+\cos(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})\right)-3\sqrt{5}\right)^{2}+15\sqrt{15}\left(-\sqrt{3}\sin(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})+\cos(\frac{\arccos(\frac{3\sqrt{15}}{20})}{3})\right)-45\sqrt{5}}{45}\approx -0.404235609\text{, }z=\frac{\sqrt{3}}{3}\approx 0.577350269$