Math, asked by beb6strishri, 1 year ago

4/ (z-1) - 5 / (z+2) =3 / z Pls solve this equation

Answers

Answered by Lawliet
22
Solution

⇒   4      -        5        =   3
  -------       ---------       -----
  z - 1         z + 2           z

⇒ 4z + 8 - (5z - 5)   =  3
    ---------------------     ----
    z² - z + 2z -2            z

⇒4z - 5z + 8 + 5   =   3
    ------------------       -----
    z²   +   z    - 2          z

⇒(-z + 13)z = 3z² + 3z - 6
⇒-z² + 13z = 3z² + 3z - 6
3z² + 3z - 6 + z² - 13z = 0
⇒4² - 10z - 6 = 0

Dividing whole equation by 2

⇒2z² - 5z - 3=0
⇒2z² - 6z + z - 3=0
⇒2z(z - 3) + 1(z - 3) = 0
⇒(2z + 1) (z - 3) = 0
⇒2z + 1 = 0     OR     z - 3=0
2z = -1                    z = 3
z = -1/2

Therfore,
z = -1/2 OR z = 3



Answered by deepak160412
12
bhai plse mark brainliest plse
hope it helped u out
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