Respuesta :

Answer:

There is no values of c that makes it true

Step-by-step explanation:

The roots of the quadratic equation x² – 2x + c = 0 are 0 and –2. Then the value of c is zero.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

For which values of c does the quadratic equation

x² – 2x + c = 0 ...1

The one root is equal to zero and one negative root.

Let negative a be the one root.

x = 0, –a

Then we have factorized the equation,

(x)(x + a) = 0

On solving, we have

x² + ax = 0 ...2

In comparing equation 2 with equation 1, we have

a = –2 and c = 0

More about the quadratic equation link is given below.

https://brainly.com/question/2263981