Question

Find the range of values of x for which 2x2 – 5x + 2 > 0​

Answer 1

x < 1/2 and x>2

Explanation:

first solve the eqn,

2x2 -5x +2 = 2x2 -4x -x +2 = 2x(x-2) - 1(x-2) = (2x-1)(x-2)

since the questions asks for >,

x < 1/2 and x>2

if the question had asked for <,

1/2<x<2