Question

Solve the equation or formula for the indicated variable.

Answer 1

Answer:

The correct answer is the second option: $s=\sqrt{\frac{R-3}{t}}$

Step-by-step explanation:

The idea is to get the variable $s$ for alone on one side. To do that follows the following steps:

1. Pass the number $3$ to subtract to the left.

$R=t\cdot s^2+3$

$R-3=t\cdot s^2$

2. Pass the letter $t$ to divide to the left side.

$\frac{R-3}{t}=s^2$

3. Take the squared root on both sides.

$\sqrt{\frac{R-3}{t}}=\sqrt{s^2}$

4. The right part can be simplified to $s$ because the power and the root are canceled.

$\sqrt{\frac{R-3}{t}}=s$

5. The solution of the equations is:

$s=\sqrt{\frac{R-3}{t}}$

Thus, the correct answer is the second option: $s=\sqrt{\frac{R-3}{t}}$

Answer 2

Subtract 3 both sides first. R-3=ts²

next, divide both sides by t, (R-3)/t=s²

finally, take the square root of both sides

√(R-3)/t = s. 2nd choice.