q={a+((a/9)−(1/(108))−a^3 )^(1/3) }^(1/3) +{b+((b/9)−(1/(108))−b^3 )^(1/3) }^(1/3) a=((9+(√(37)))/(72)) , b=((9−(√(37)))/(72)) find q correct to 5 decimal places.


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Question Number 157046 by ajfour last updated on 18/Oct/21
$q={a+((a/9)−(1/(108))−a^3 )^(1/3) }^(1/3) +{b+((b/9)−(1/(108))−b^3 )^(1/3) }^(1/3) a=((9+(√(37)))/(72)) , b=((9−(√(37)))/(72)) find q correct to 5 decimal places.$
$q = {a + {(\frac{a}{9} - \frac{1}{108} - a^{3})}^{1 / 3}}^{1 / 3}$ $+ {b + {(\frac{b}{9} - \frac{1}{108} - b^{3})}^{1 / 3}}^{1 / 3}$ $a = \frac{9 + \sqrt{37}}{72}, b = \frac{9 - \sqrt{37}}{72}$ $f i n d q c o r r e c t t o 5 d e c i m a l$ $p l a c e s .$
Commented by ajfour last updated on 18/Oct/21

$c o u l d i t b e a n a n s w e r t o$ $x^{3} - x = \frac{1}{4} ?$
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