Question

Tolong dong dibantu

1.
x^1/2 + x^-1/2 = 3
tentukan nilai x + x^-1

2.
(x^2)^x = x^4x-x^2

3.
(1/3)^2x+1 > (27/3^x-1)^1/2

Answer 1

1) (x^1/2 + x^-1/2)^2 = x + 1/x + 2 
x + 1/x = 3^2 - 2 = 7
.
3).
(3)^{-(2x+1)} > (3)^3/2 . (3)^ {-1/2 (x-1)}
-2x + 1 > 3/2 -1/2x + 1/2
-2x + 1/2 x > 3/2 +1/2 -1
- 3/2 x > 1
x < 2/3
...