Question

if (x - 4) is the mean proportional of (x- 5) and( x- 2) then find the value of x​

Answer 1

Step-by-step explanation:

{(x-5)+(x-2)}/2=(x-4)

=>(2x-7)/2=(x-4)

=>2x-7=2x-8

I think your question is wrong ...

so please send correct question...

Answer 2

If (x - 4) is the mean proportional of (x - 5) and( x - 2) then value of x = 6

Given :

(x - 4) is the mean proportional of (x - 5) and( x - 2)

To find :

The value of x

Solution :

Solution :Step 1 of 2 :

Form the equation

Here it is given that (x - 4) is the mean proportional of (x - 5) and( x - 2)

By the given condition

$\displaystyle \sf{ \frac{x - 5}{x - 4} = \frac{x - 4}{x - 2} }$

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ \frac{x - 5}{x - 4} = \frac{x - 4}{x - 2} }$

$\displaystyle \sf{ \implies {(x - 4)}^{2} = (x - 5)(x - 2) }$

$\displaystyle \sf{ \implies {x}^{2} - 8x + 16 = {x}^{2} - 5x - 2x + 10}$

$\displaystyle \sf{ \implies {x}^{2} - 8x + 16 = {x}^{2} - 7x + 10}$

$\displaystyle \sf{ \implies - 8x +7x = 10 - 16}$

$\displaystyle \sf{ \implies - x = - 6}$

$\displaystyle \sf{ \implies x = 6}$

Hence the required value of x = 6

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If 4 : 3 = y : 9 then y = ?

https://brainly.in/question/39267349

2. What will be the ratio of 20 rupees to 5 rupees?

https://brainly.in/question/37944893