Step-by-step 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)
Answer:
+/- 3.015 to the nearest thousandth.
Step-by-step 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.
