Question

Solve (1/2)^x²-2x < 1/4​

Answer 1

Step-by-step explanation:

(1/2)x²-2x<1/4

2x²-2x>4

2x²-2x>2²

x²-2x>2

x²-2x-2>0

x²-2x+1-3>0

(x-1)²-3>0

=(x-1)²>3

:.x=2 (1)² ,x=3 (2)²=4>3

:.x>3

so answer is (3,infinity)