Question

Solve the equation or formula for the indicated variable. I have added a picture of the problem as well R=ts^2+3 for s

A. s=√r-3/t (inside the square root is only r-3)
B. s=√r-3/t ( Inside the square root is the entire fraction)
C. s= √r-3/t (inside the square root is only the r)
D. s= √r/t -3 (inside the square root is the entire fraction with the -3)

Answer 1

Answer:

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

Step-by-step explanation:

Solve for s in the equation: $R = t {s}^{2} + 3$

Make s the subject of formula by collecting like terms.

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

Divide both sides by the coefficient of s²

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

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

Square root both sides because s is squared.

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

Therefore: $s = \sqrt{ \frac{R - 3}{t} }$ is the final answer.

Option A is almost correct but the square root is not for only $R - 3$ but for $\frac{R - 3}{t}$

I hope this helps