Q:

Which shows the correct substitution of the values a, b, and c from the equation 0 = 4x2 + 2x – 1 into the quadratic formula below?Quadratic formula: x =

Accepted Solution

A:
For this case we have a quadratic equation given by:[tex]4x ^ 2 + 2x-1 = 0[/tex]The roots are found by means of the quadratic formula below:[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}[/tex]Where:[tex]a = 4\\b = 2\\c = -1[/tex]So, we have:[tex]x = \frac {-2 \pm \sqrt {2 ^ 2-4 (4) (- 1)}} {2 (4)}[/tex]Or in an equivalent way we have:[tex]x = \frac {-2 \pm \sqrt {2 ^ 2 + 4 (4) (1)}} {2 (4)}[/tex]Answer:The correct option will be:[tex]x = \frac {-2 \pm \sqrt {2 ^ 2-4 (4) (- 1)}} {2 (4)}[/tex]