2.5 X 10^(-3) = (.28)(.38) / x^2

Question

Solve for x.

2.5 X 10^(-3) = 0.1064 / x^2

2.5 X 10^(-3) X 0.1064 = 266

sqrt 266 = 16.3

Did I do this correctly?? Thank you for your help.

Answer 1

2.5 * 10 ^ ( - 3) = ( 0.28 ) * ( 0.38 ) / x ^ 2 Multiply both sides by x ^ 2

2.5 * 10 ^ ( - 3) * x ^ 2 = ( 0.28 ) * ( 0.38 )

2.5 * 10 ^ ( - 3) * x ^ 2 = 0.1064 Divide both sides by 2.5 * 10 ^ ( - 3)

x ^ 2 = 0.1064 / 2.5 * 10 ^ ( - 3)

x ^ 2 = 0.1064 * 10 ^ 3 / 2.5

Remark: 1 / 10 ^ ( - 3 ) = 10 ^ 3

x ^ 2 = 0.1064 * 1000 / 2.5

x ^ 2 = 106.4 / 2.5

x ^ 2 = 42.56

x = sqrt ( 42.56 )

x = ± 6.5238

Answer 2

thank you for your help

Answer 3

If you must simplify your answer:

x ^ 2 = 106.4 / 2.5 * ( 10 / 10 )

x ^ 2 = 1064 / 25

x ^ 2 = 4 * 266 / 25

x = sqrt ( 4 * 266 / 25 )

x = ± (2 / 5 ) * sqrt ( 266 )