Solve for the indicated variable.
-$Z = A ( 1 + x ) ^ { 1 / 2 }$, for $x$
A) $x = \left( \frac { Z } { A } \right) ^ { 2 }$
B) $x = \left( \frac { Z } { A } \right) ^ { 2 } - 1$
C) $x = \left( \frac { A } { Z } \right) ^ { 2 }$
D) $x = \left( \frac { Z } { A } \right) ^ { 2 } + 1$

Question

Quizplus · Accepted Answer

To solve for $x$, first divide both sides by $A$, giving $\frac{Z}{A} = (1 + x)^{1/2}$. Then square both sides to remove the square root, resulting in $\left(\frac{Z}{A}\right)^2 = 1 + x$. Finally, subtract 1 from both sides to isolate $x$, yielding $x = \left(\frac{Z}{A}\right)^2 - 1$.

Solve for the Indicated Variable Z=A(1+x)1/2Z = A ( 1 + x ) ^ { 1 / 2 }Z=A(1+x)1/2

Solve for the Indicated Variable $Z = A ( 1 + x ) ^ { 1 / 2 }$