Question

Solve for x: 3root x/5+root5/x =10

Answer 1

Answer:

Step-by-step explanation:

3√x/5 + √5/x = 10

squaring both side

9x/5 +5/x + 2*3(x/5)^1/2 * (x/5)^-1/2 = 100

9x/5 + 5/x + 6 = 100

(9x^2+25)/5x=100-6

9x^2 + 25=94*5x

9x^2 + 25 = 470x

9x^2 - 470x +25 = 0

by using sridharacharya method

x=(235 + 50√22)/9

x=(235 - 50√22)/9