Question

V=1087 sqrt t/273 find t

Answer 1

`1)\ \ \ v=1087 \sqrt{ (t)/(273) } \ \ \ \Leftrightarrow\ \ \ v=1087 \cdot √(t) }\cdot (1)/(√(273))\ /\cdot √(273)\\\\√(273)\cdot v=1087\cdot √(t) \ /:1087\\\\ √(t)= (√(273)\cdot v)/(1087) \ \ \ \Rightarrow\ \ \ (√(t))^2=( (√(273)\cdot v)/(1087))^2\\\\t= \frac{\big{273\cdot v^2}}{\big{1087^2} }\ \ \ \Rightarrow\ \ \ t= \frac{\big{273v^2}}{\big{1,181,569} }\\\\`



`2)\ \ \ v=1087 \sqrt{ (t)/(273) } \ \ \ \Leftrightarrow\ \ \ v=1087 \cdot ( √(t) )/(273) \ /\cdot273\\\\273\cdot v=1087\cdot √(t) \ /:1087\\\\√(t)= \frac{\big{273\cdot v}}{\big{1087}} \ \ \ \Rightarrow\ \ \ (√(t))^2= ((273\cdot v)/(1087) )^2\\\\t= \frac{\big{273^2\cdot v^2}}{\big{1087^2}} \ \ \ \Rightarrow\ \ \ t=\frac{\big{74529\cdot v^2}}{\big{1,181,569}}`

Answer 2

`v=(1087√(t))/(273)\ \ \ \ /\cdot(273)/(1087)\\\\√(t)=(273v)/(1087)\\\\t=\left((273v)/(1087)\right)^2`