Unit 4 Test

The discriminant indicates the number and type of the roots of a quadratic equation.

The solutions are x = 5 and x = -9.

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

The x-intercepts are found by setting the quadratic equation equal to zero and solving for x.

Completing the square is a method used to solve quadratic equations by rewriting them in the form (x - p)² = q.

The vertex is the highest or lowest point of the parabola, depending on the direction it opens.

If the discriminant is positive, the quadratic equation has two distinct real roots.

If the discriminant is zero, the quadratic equation has exactly one real root (a repeated root).

If the discriminant is negative, the quadratic equation has two complex roots.

Rearrange to x^2 - 2x + 1 = 0, then apply the quadratic formula to find x = 1.