Question

question 9 of 23
state the quadratic formula.
select the correct response:
$x = \frac{b \pm \sqrt{b^2 + 4ac}}{2a}$
$x = \frac{b \pm \sqrt{b^2 - 4ac}}{2a}$
$x = \frac{-b \pm \sqrt{b^2 + 4ac}}{2a}$
$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Explanation:

The quadratic formula is used to solve quadratic equations of the form \( ax^2 + bx + c = 0 \) (where \( a
eq 0 \)). The correct quadratic formula is derived from completing the square for the quadratic equation, and it is \( x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a} \). So we match this with the given options.

Answer:

The correct response is \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) (the fourth option among the given choices).