Slove the following equation please...?

Question

-246.0 = 1312 [ (1/2^2) - (1/n^2) ]

(^ means to the second power..example...2^2 = 4)

and please try to show your work or explain how you got your answer to the best of your ability..Thanks so much!

Answer 1

#1:  Divide both sides by 1312

-.1875 = (1/2^2) - (1/n^2)

#2:  Subtract 1/2^2 from both sides (or 0.25)

-.4375 = (1/n^2)

#3:  Multiply n^2 to both sides.

-0.4375n^2 = -1

#4:  Divide by -0.4375 on both sides

n^2 = 2.285714

#5:  Take sqrt of both sides.

n = 1.512