Question

the positive value of x for which x²-9/ x²+5= -5/9 is satisfied, is dash

Answer 1

⇒ ( x² - 9 ) ÷ ( x² + 5 ) = -5/9

⇒ 9 ( x² - 9 ) = -5 ( x² + 5 )

⇒ 9x² - 81 = -5x² - 25

⇒ 9x² + 5x² = 81 - 25

⇒ 14 x² = 56

⇒ x² = 56 ÷ 14

⇒ x² = 4

⇒ x = √4

∴ x = ±2.

But it is given that value of x should be positive.

Hence , x = 2.

Answer 2

Answer:

2

Here is your solution:

= ( x² - 9 ) ÷ ( x² + 5 ) = -5/9

= 9 ( x² - 9 ) = -5 ( x² + 5 )

= 9x² - 81 = -5x² - 25

= 9x² + 5x² = 81 - 25

= 14 x² = 56

= x² = 56 ÷ 14

= x² = 4

= x = √4

= x = 2