if x = -3 is the only x - intercept of the graph of a quadratic equation, which statement best describes the…

if x = -3 is the only x - intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?\nthe discriminant is negative.\nthe discriminant is -3.\nthe discriminant is 0.\nthe discriminant is positive.

if x = -3 is the only x - intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?\nthe discriminant is negative.\nthe discriminant is -3.\nthe discriminant is 0.\nthe discriminant is positive.

Answer

Explanation:

Step1: Recall discriminant - root relationship

For a quadratic equation (ax^{2}+bx + c=0), the discriminant (\Delta=b^{2}-4ac). The number of (x -)intercepts is determined by the number of real - roots of the quadratic equation. If (\Delta>0), there are two distinct real roots; if (\Delta = 0), there is one real root; if (\Delta<0), there are no real roots.

Step2: Analyze given situation

Since (x = - 3) is the only (x -)intercept of the graph of the quadratic equation, the quadratic equation has only one real root.

Answer:

The discriminant is 0. So the correct option is: The discriminant is 0.