Question

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

Answer 1

Answer:

3

step by step explanation :

Mean proportional of two numbers, a and b is

ab

Given, mean proportional of (28−x) and (19−x) is (23−x)

(28−x)×(19−x)

=(23−x)

Squaring both sides,

(28−x)×(19−x)=(23−x)

2

532−28x−19x+x

2

=529+x

2

−46x

532−47x=529−46x

532−529=−46x+47x

x=3