9s2 – 4 = – 6s

Absolutely! Here's the solution for the equation 9s² - 4 = -6s:

1. Rearrange to Standard Form: Add 6s to both sides: 9s² + 6s - 4 = 0

2. Use the Quadratic Formula:

   • a = 9, b = 6, c = -4
   • s = (-b ± √(b² - 4ac)) / 2a

3. Substitute and Simplify: s = (-6 ± √(6² - 4 * 9 * -4)) / (2 * 9) s = (-6 ± √(180)) / 18 s = (-6 ± 6√5) / 18

4. Simplify the Solutions: s₁ = (-1 + √5) / 3 s₂ = (-1 - √5) / 3

Therefore, the solutions to the equation are:

• s₁ = (-1 + √5) / 3
• s₂ = (-1 - √5) / 3