Question

Which of the following statements is not true concerning the equation x2−c=0 for c>0? A. The​ left-hand side of this equation is called a difference of two squares. B. This equation is not considered to be a quadratic equation because it is not of the form ax2+bx+c=0. C. A quadratic equation in this form can always be solved by factoring. D. A quadratic equation in this form can always be solved using the square root property.

Answer 1

Answer:

The correct option is;

B. This equation is not considered to be a quadratic equation because it is not in the form a·x² + b·x + c = 0

Step-by-step explanation:

A. The given equation, x² - c = 0, can be presented in the form of the difference of two squares as follows;

(x + √c)·(x - √c) = 0

B. The equation x² - c = 0, is a quadratic equation because it is a polynomial equation of degree 2

C.  The equation x² - c = 0 can always be factored as (x + √c)·(x - √c) = 0

D. Where c > 0, the equation x² - c = 0 can by the square root property as follows;

x² - c = 0

x² = c

x = √c