Question

If (28-x) is the mean proportional of (23-x) and (19-x) then find the value of X?​

Answer 1

Answer:

The answer is 347/14

Step-by-step explanation:

Answer 2

Answer:

347/14

Step-by-step explanation:

If a, b and c are in proportional:

    a/b = b/c     or ac = b²    

⇒ √ac = b

Where b is the mean proportional of a and c.

       Here,

⇒ √(23 - x )(19 - x) = (28 - x)

⇒ (23 - x)(19 - x) = (28 - x)²

⇒ 437 - 23x - 19x + x² = 784 + x² - 56x

⇒ 56x - 42x = 784 - 437

⇒ x = 347/14

  ∴ value of x is 347/14