Question

7y-5/y+7-2y-14/5=-14/5​

Answer 1

Answer:

y = (-7+ √149) / 10 , (-7 - √149) / 10

Step-by-step explanation:

Given,

7y - 5/y + 7 - 2y - 14/5 = -14/5

= 7y - 2y - 5/y = -14/5 + 14/5 - 7

= 5y - 5/y = -7

= (5y^2 - 5) / y = -7

= 5y^2 - 5 = -7y

= 5y^2 + 7y - 5 = 0

Here, a = 5 , b = 7 , c = -5

By using quadratic formula, we get

x = {-b +/- √(b^2 - 4ac)} / 2a

We get,

y = {-(7) +/- √(7^2) -4 × 5 × (-5)}/2 × 5

y = {-7 +/- √149 } / 10

Hence, the values of,

y = (-7+ √149) / 10 , (-7 - √149) / 10