Question

1. the ___ formula, $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ is used to find the solutions to a quadratic equation of the form $ax^2 + bx + c = 0$.

options: vertex, parabolic, quadratic, complete

1. the solutions to a quadratic equation are called the ___ or x - intercepts.

options: quadratics, answers, roots, bases

1. the quadratic formula can be used to find the roots of ___ quadratic equation.

options: only one, any, just some, two

Explanation:

Step1: Identify formula for quadratics

The given formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ is the quadratic formula, used for equations $ax^2+bx+c=0$.

Step2: Name quadratic equation solutions

Solutions (x-intercepts) of quadratic equations are called roots.

Step3: Quadratic formula applicability

The quadratic formula works for any quadratic equation of the form $ax^2+bx+c=0$.

Answer:

1. B. quadratic
2. B. roots
3. C. any