The equation
[tex]4x^2\text{ + 2x -1 = 0}[/tex]comparing it with the standard quadratic equation
[tex]ax^2\text{ + bx + c = 0}[/tex]a=4 b=2 and c=-1
The quadratic formula is given by
[tex]X=\text{ -b }\pm\frac{\sqrt{b^2\text{ +4ac}}}{2a}\text{ }[/tex]substituting a=4 b=2 and c= -1 into the quadratic formula
[tex]\text{ X = -2 }\pm\frac{\sqrt{2^2+4(4)(-1)}}{2(4)}[/tex]