9x^3_12x+5 solve through completing square

Completing the square is typically used for solving quadratic equations, but the expression you provided, \(9x^3 - 12x + 5\), is a cubic equation. Completing the square is not directly applicable to cubic equations, so let's first clarify if you meant to use a different approach, such as factoring, finding roots using the Rational Root Theorem, or some other technique.

### For Solving \( 9x^3 - 12x + 5 = 0 \):

Here's a step-by-step method to find the roots:

1. **Check if factoring is possible**: We can use factoring techniques or the Rational Root Theorem to find potential roots.
2. **Use synthetic division**: Once a root is found, use synthetic division to simplify the equation into a quadratic form.
3. **Solve the remaining quadratic**: Solve the simplified quadratic equation by completing the square or using the quadratic formula.

Would you like me to proceed with this approach, or would you like to confirm if you intended to solve a quadratic equation instead? Let me know how you'd like to proceed!

Learn how to solve the cubic equation 9x^3 - 12x + 5 using methods such as factoring, the Rational Root Theorem, and synthetic division. This problem requires advanced algebraic skills and covers techniques beyond completing the square.

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