Question

If 0.89=1-1/k^2, how do I find K?

Answer 1

+/- 3.015 to the nearest thousandth.

Explanation:

0.89 = 1 - 1 / k^2

Multiply through by k^2

0.89k^2 = k^2 - 1

k^2 - 0.89k^2 = 1

0.11 k^2 = 1

k^2 = 1/0.11 = 9.091

k = +/- √0.091

= +/-3.015.

Answer 2

Explanation:

0.89 = 1 - 1/(k²)

Start by subtracting 1 from both sides:

0.89 - 1 = -1/(k²)

-0.11 = -1/(k²)

Multiply both sides by -1:

0.11 = 1/(k²)

Multiply both sides by k²:

0.11 k² = 1

Divide both sides by 0.11:

k² = 1 / 0.11

Take the square root:

k = √(1 / 0.11)