Question

Answer this ...............​

Answer 1

Answer:

hope u like it plz Mark as brainlist .

Answer 2

Answer:

x = 1, 2/3

Step-by-step explanation:

Given Equation is 9x² - 15x + 6 = 0

Dividing by 9 on both sides, we get

⇒ x² - (15/9)x + (6/9) = 0

⇒ x² - (5/3)x + (2/3) = 0

Adding and subtracting (5/6)², we get

⇒ x² - (5x/3) + (2/3) + (5/6)² - (5/6)² = 0

⇒ x² - (5x/3) + (5/6)² + (2/3) - (5/6)² = 0

⇒ (x - 5/6)² = (5/6)² - (2/3)

⇒ (x - 5/6)² = (25/36) - (2/3)

⇒ (x - 5/6)² = 1/36

⇒ x - 5/6 = ±1/6

(i)

x - 5/6 = 1/6

⇒ x = 6/6

⇒ x = 1

(ii)

x - 5/6 = -1/6

⇒ x = -1/6 + 5/6

⇒ x = 4/6

⇒ x = 2/3

So, x = 1 and x = 2/3 are the roots of the equation.

Hope it helps!