Question

Solve. Q−7 5/6 = 6 1/2 Q

Answer 1

Q = 13.8

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