Question

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

Answer 1

Answer:

x = 347/14

Step-by-step explanation:

A number b is said to be mean proportional of two numbers a and c if

b2 = ac.

∴ From the definition of mean proportion, we get:

(28 - x)2 = (23 - x)(19 - x)

⇒ 784 + x2 – 56x = 437 - 42x + x2

⇒-56x + 42x = 437 – 784

⇒ -14x= -347

⇒ x = 347/14