Question

if 3x+1/3x=5.find the value of 9x^2+1/9x^2

Answer 1

Answer:

23

Step-by-step explanation:

 $3x + \frac{1}{3x} = 5$  

Squaring on both sides,

$(3x + \frac{1}{3x})^{2} = 5^{2}$

(a + b)² = a²  + b² + 2ab,  Here a = 3x and b =  $\frac{1}{3x}$

 $9x^{2} + \frac{1}{9x^{2} } + (2 * 3x * \frac{1}{3x} )= 25$

 $9x^{2} + \frac{1}{9x^{2} } + 2 = 25$

$9x^{2} + \frac{1}{9x^{2} } = 25 - 2$

$9x^{2} + \frac{1}{9x^{2} } = 23$

Answer 2

Answer:

23 ...................