Solve. Q-7 5/6 = 6 1/2 Q

Q = 13.8

Step-by-step explanation:

It is given that

Q - 7 5/6 = 6 1/2Q

⇒Q - 47/6 = (12Q + 1) / 2Q

⇒ 6Q/6 - 47/6 = (12Q + 1) / 2Q

⇒ (6Q - 47) / 6 = (12Q + 1) / 2Q

⇒ (6Q - 47) / 3 = (12Q + 1) / Q

⇒Q ((6Q - 47) = 3 (12Q + 1)

⇒6Q² - 47Q = 36Q + 3

⇒6Q² - 47Q - 36Q - 3 = 0

6Q² - 83Q - 3 = 0

Solving we get, Q = 13.8