Make y the subject of the formula Z = x2 + ..

Question 1 Report

Make y the subject of the formula Z = x2 + $\frac{1}{y^{3}}$

y =

\frac{1}{(z - x^{2})^{3}}

y =

\frac{1}{(z + x^{2}) \frac{1}{3}}

y =

\frac{1}{(z x^{2}) \frac{1}{3}}

y =

3 \sqrt{z - x^{2}}

Answer Details

Z = x2 + $\frac{1}{y^{3}}$
Z - x2 = $\frac{1}{y^{3}}$
y3 = $\frac{1}{Z x^{2}}$
y = $3 \sqrt{\frac{1}{2} x^{2}}$
∴ y = $3 \sqrt{Z - x^{2}}$

Make y the subject of the formula Z = x2 + 1y3