Question

21 - X is the mean proportional of 24 - X and 17 - x then find the value of x​

Answer 1

Given:

X is the mean proportional of 24 - x and 17 - x

To find:

The value of x

Solution:

If we have the numbers a and b then the mean proportion of a and b will be given as:

√ab

Here we have:

24 - X and 17 - x

so according to the question:

$\sqrt{(24-x)(17-x)} = x$

• $(24-x)(17-x) = x^{2}$
• $408-24x-17x+x^{2} = x^{2}$
• $408-24x-17x=0$
• $408-41x=0$
• $41x=408$
• $x=\frac{408}{41}$

So the value of x is 408/41