Make t the subject of k = mt−pr−−−√

Question 1 Report

Make t the subject of k = $m \sqrt{\frac{t - p}{r}}$

\frac{k^{2} r + p}{m^{2}}

k2r+pm2m2

\frac{k^{2} r - p}{m^{2}}

\frac{k^{2} r + p^{2}}{m^{2}}

Answer Details

square both sides to remove the square root

k $^{2}$ = m $^{2}$ $\frac{t - p}{r}$

$\frac{k^{2} r}{m^{2}}$ = t - p

t = $\frac{k^{2} r}{m^{2}}$ + p

t = $\frac{k^{2} r + p m^{2}}{m^{2}}$