## Intermediate Algebra: Connecting Concepts through Application

$x=3.5$
Isolate the variable factor on one side, and then take the $n$th root of both sides to solve for the variable. If the root is even, there will be a positive and negative answer. If the root is odd and the other side is negative, there is only a negative answer. $2x^5+7=1057.4375$ $2x^5=1050.4375$ $x^5=525.21875$ $x=3.5$