Question

question 7 (mandatory) (1 point)
all of the following are ways to determine the roots of a quadratic function except:

a) graphing

b) completing the square

c) quadratic formula

d) finding the discriminant

Explanation:

• Graphing: The roots of a quadratic function are the x - intercepts. By graphing the quadratic function (a parabola), we can visually identify the points where the graph intersects the x - axis, which are the roots.
• Completing the square: This is an algebraic method. For a quadratic equation of the form \(ax^{2}+bx + c = 0\), we can rewrite it in the form \((x + h)^{2}=k\) by completing the square. Then we can solve for \(x\) to find the roots.
• Quadratic formula: The quadratic formula \(x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}\) is derived from completing the square and is a direct way to find the roots of a quadratic equation \(ax^{2}+bx + c = 0\) for \(a

eq0\).

• Finding the discriminant: The discriminant is \(D = b^{2}-4ac\). The discriminant tells us about the nature of the roots (whether they are real, complex, equal, or distinct), but it does not directly give us the value of the roots.

Answer:

d) finding the discriminant