formalate into a mathematical problem to find a number such that when its cube root is added to the result is 6
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Let the number be x.
Given that
Cubing on both sides
x = (6 – x)3
⇒ x = 216 – 3 (6)2 (x) + 3(6) (x)2 – x3
⇒ x = 216 – 108x + 18x2 – x3
⇒ x3 – 18x2 + 109x – 216 = 0
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