Which of the following statements is not true concerning the equation x^2 - c = 0 for c > 0

A. A quadratic system in this form can always be solved by factoring.

B. This equation is not considered to be a quadratic equation because it is not in the form ax^2 + bx + c = 0

C. The left-hand side of this equation is called a difference of two squares

D. A quadratic equation in this form can always be solved using the square root property.


Which of the following steps would not be necessary when using the square root property to solve a quadratic equation?

A. After applying the square root property, solve the resulting equations.

B. Isolate the quantity being squared

C. The square root property may be applied only if the constant is positive

D. When taking the square root of both sides, use plus-minus on the square root of the constant.


Which of the following steps can be performed can be performed so that the square root property may easily be applied to 2x^2 = 16?

A. The square root property requires a quantity squared by itself on one side of the equation. The only quantity is squared by 16, so divide both sides by 2 before applying the square root property

B. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is X, so divide both sides by 16 before applying the square root property

C. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is X, so divide both sides by 2 before applying the square root property

Respuesta :

Answer:

The correct option are;

1) D. A quadratic equation of this form can always be solved using the square root property

2) B. Isolate the quantity being squared

3) C. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is X so divide both sides by 2 before applying the square root property

Step-by-step explanation:

Where the quadratic equation is of the form x² = b, the square root property method can be used to solve the equation. Due to the nature of square roots, putting a plus-minus before the square root of the constant on the right hand side of the equation after taking the square roots of both sides of the equation, two answers are produced.

It is however to first isolate the term with the squared variable, after which the square root of both sides of the equation is taken.