An algebra problem by Dominick Hing

Algebra Level pending

Solve for $x$ :

${ (x-1) }^{ \frac { 1 }{ 3 } }=5$

1 solution

Dominick Hing
Sep 28, 2014

Raise both sides to the third power.

${ [{ (x-1) }^{ \frac { 1 }{ 3 } } }]^{ 3 }={ [5] }^{ 3 }$

Thus $x-1=125$ and $x = 126$