Question

algebra: concepts and connections - plc modeling and analyzing quadratic functions: quadratic equations 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: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Explanation:

Step1: Identify a, b, c values

From $0=4x^2+2x-1$, we get $a=4$, $b=2$, $c=-1$.

Step2: Substitute into quadratic formula

Substitute $a,b,c$ into $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$:
$x=\frac{-2\pm\sqrt{2^2-4(4)(-1)}}{2(4)}$

Step3: Match with given options

Compare to the provided substitution options.

Answer:

$\boldsymbol{x = \frac{-2\pm\sqrt{2^2-4(4)(-1)}}{2(4)}}$ (the third option in the image)