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Solve the Equation Given by Completing the Square. 3x^2-12x-15=0 [Hint: Divide by 3 First] X=square

Problemas

Solve the equation given by completing the square. 3x^2-12x-15=0 [Hint: Divide by 3 first] x=square

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Respuesta

To solve the equation by completing the square, follow these steps:1. **Divide the entire equation by 3** to simplify the coefficients: 2. **Move the constant term to the other side** of the equation: 3. **Complete the square** on the left side. To do this, take half of the coefficient of , square it, and add it to both sides of the equation. The coefficient of is , so half of it is , and squaring it gives : 4. **Take the square root of both sides**: 5. **Solve for ** by isolating it: So, the solutions are: Therefore, the solutions to the equation are: