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

B.
`s = \sqrt{ (R - 3)/(t) }`

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} = (R - 3)/(t)`

`{s}^(2) = (R - 3)/(t)`

Square root both sides because s is squared.

`\sqrt{ {s}^(2) } = \sqrt{ (R - 3)/(t) }`

Therefore:
`s = \sqrt{ (R - 3)/(t) }` is the final answer.

Option A is almost correct but the square root is not for only
`R - 3` but for
`(R - 3)/(t)`

I hope this helps