How would you complete the square on the left side of this equation? x^2-6x=15 A. Add 6 to both sides of the equation. B. Subtract 6 from both sides of the equation. C. Add 9 to both sides of the equation. D. Subtract 9 from both sides of the equation.

Respuesta :

Answer:

The answer to your question is letter C

Step-by-step explanation:

                                           x² - 6x = 15

Process

1.- Divide the middle term by 2

                       -6 / 2 = -3

2.- Add the result to both sides

                                         x² - 6x + (-3)² = 15 + (-3)²

3.- Simplify

                                         x² - 6x + 9 = 15 + 9

4.- Conclusion

    Add 9 to both sides of the equation

Answer:

C

Step-by-step explanation:

x²-6x+9=15+9

\[(x-3)²=24\]

x-3±2√6

x=3±2√6