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We are given that \( \alpha \) and \( \beta \) are the roots of the quadratic equation:

\[
x^2 - 5x - 9 = 0
\]

From Vieta's formulas, we know that:

1. The sum of the roots is given by:
   \[
   \alpha + \beta = -\frac{\text{coefficient of } x}{\text{leading coefficient}} = 5
   \]

2. The product of the roots is:
   \[
   \alpha \beta = \frac{\text{constant term}}{\text{leading coefficient}} = -9
   \]

Now, let’s evaluate the given statements in the image:

- **Option a**: \( \alpha \beta = -9 \).  
  This is true based on the product of the roots from Vieta’s formulas.
  
- **Option b**: \( \alpha \beta = 9 \).  
  This is false because the product

Diketahui α dan β merupakan akar-akar dari persamaan kuadrat x^2 - 5x - 9 = 0 , berikut ini pernyataan yang bernilai benar adalah ...

Explore how to solve the quadratic equation x^2 - 5x - 9 using Vieta's formulas. Learn the sum and product of the roots and verify the correct statements about the roots α and β. Suitable for students in Grades 9-10.

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