Reduce each of the following equations of hyperbolas in the standard form.36x²-81y²+24x+328=0

Answer 1

36x² - 81y² + 24x + 328 = 0

36x² - 81y² + 24x = -328

36x² + 24x - 81y² = -328

36(x² + 24/36x ) - 81y² = -328

36(x² + 2/3x ) - 81y² = -328

36(x² + 2/3x + 1/9) - 81y² = -328 + 36(1/9)

36(x + 1/3)² - 81y² = -328 + 4

36(x + 1/3)² - 81y² = -324

36/-324(x + 1/3)² - 81/-324y² = -324/-324

-1/9(x + 1/3)² + 1/4y² = 1