Question

3√x/2.56=100/x find value of x

Answer 1

The value of x is $(\frac{256}{3} )^{\frac{2}{3}}$.

Step-by-step explanation:

We have,

3$\dfrac{\sqrt{x} }{2.56}$ = $\dfrac{100}{x}$

⇒ 3$\dfrac{\sqrt{x} }{2.56}$ ·x= 100 × 2.56

⇒ 3 $\sqrt{x}$ · x= 100 × 2.56 = 256

⇒ $x^{\frac{3}{2} }$ = $\dfrac{256}{3}$

⇒ x = $(\frac{256}{3} )^{\frac{2}{3}}$

Hence, the value of x is $(\frac{256}{3} )^{\frac{2}{3}}$.