quadratic equations...
class 10
Attachments:
Answers
Answered by
176
Given :----
- 6(x2 + 1/x2) – 25(x – 1/x) + 12 = 0
Solution :-------
Put (x – 1/x) = y,
squaring both sides now, we get,,
→ (x – 1/x)² = y²
⇒ x² + 1/x² – 2 = y² [ as (a-b)² = a² + b² -2ab ]
⇒ (x² + 1/x²) = (y² + 2)
Now, given equation becomes
6(y² + 2) – 25y + 12 = 0
⇒ 6y² + 12 – 25y + 12 = 0
⇒ 6y² – 25y + 24 = 0
⇒ 6y² - 16y - 9y + 24 = 0
⇒ 2y(3y – 8) – 3(3y – 8) = 0
⇒ (3y – 8)(2y – 3) = 0
⇒ 3y – 8 = 0 or 2y – 3 = 0
⇒ 3y = 8 or 2y = 3
⇒ 3y = 8 or 2y = 3
⇒ y = 8/3 or y = 3/2
________________________________
Putting both Equal to (x-1/x) now, and solving further ..
See solution in image now .....
____________________________________
Hence, we can say that, value of x will be
[ 3, (-1/3) , 2 or (-1/2) ]
________________________________
#BAL
#anawerwithquality
Attachments:
Answered by
3
Answer:
sorry dude I am not study in class 10th
....... I am in class 9th...
Step-by-step explanation:
plss follow me
Similar questions