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x³=343-¹ find the positive value of x that makes the equation true

Sagot :

[tex]x^3=343^{-1}\\\\x^3=(7^3)^{-1}\\\\x^3=7^{-3}\\\\x^3=\left(\frac{1}{7}\right)^3\iff\boxed{x=\frac{1}{7}}[/tex]