Solve without squaring both sides 5 2x squareroot 5 2x Solv

Solve without squaring both sides. 5- 2/x = squareroot 5- 2/x Solve for x. 3 squareroot x squareroot x = 9 Solve for x x^5/6 + x^2/3 - 2x^1/2 = 0

5 - 2/x = 1

5 - 1 = 2/x

2/x = 4

x = 2/4

x = 1/2

(x*sqrt x)^(1/3) = 9

take cube on both sides

x*sqrt x = 9^3

x^(1+1/2) = 9^3

x^3/2 = 729

x = 729^(2/3)

x = (729^(1/3))^2

x = 9^2

x = 81