Question

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.

Answer 1

`\Large \boxed{\mathrm{Option \ B}}`

Explanation:

The equation is in the form ax² + bx + c = 0.

x² - c = 0

1x² + 0x + -c = 0

Where : a = 1, b = 0, and c = -c

c > 0

The quadratic equation can always be factored if c is a square number

c can be a square number and the quadratic equation can be solved by using the difference of two squares formula.

x is squared so it can be solved by isolating x on one side by adding c to both sides and using the square root property.

Answer 2

`\huge\boxed{Option \ B}`

Explanation:

`x^2 - c = 0`

This equation is in a quadratic form since:

=> It has the highest power of x as 2. Those equations are quadratic equations in which the highest power of x is 2.

=> However, Those quadratic equation in which b = 0 , and they are like either
`ax^2 + c = 0 \ OR \ ax^2-c = 0`, They are called pure quadratic equation.

So,
`x^2 - c = 0` is a quadratic equation.