Solve the inequation : 14x^2 - 13x+3 >0

We'll apply another method of solving the
inequality.

We'll find the roots of the equation and we'll
establish the rule: between the roots, the expression has the opposite sign to the sign
of the coefficient of x^2. The expression will have the same sign with the sign of the
coefficient of x^2, outside the roots.

14x^2 - 13x+3 =
0

Since it is a quadratic, we'll apply the quadratic
formula.

x1 =
[13+sqrt(169-168)]/2*14

x1 =
14/28

x1 = 1/2

x2 =
12/48

x2 =
1/4

Since the coefficient of x^2 is positive,
the expression will be positive outside the
roots.

14x^2 - 13x+3 >0
for x belongs to the
intervals:

(-infinite, 1/4) U
(1/2, +infinite)