Question

In the formula $H=\frac{2ab}{a+b}$, if $a=5$ and $H=8$, then find the value of b.

Answer 1

Given,

$a=5$ and $H=8$

find the value of b

$H=\frac{2ab}{a+b}$

$8=\frac{2\times 5\times b}{5+b}$

$8(5+b)=10b$

$40+8b=10b$

$40=2b$

$b=\frac{40}{2}$

$b=20$Ans