For this case we have the following quadratic equation:
[tex]-2x ^ 2 = -8x + 8[/tex]
This is equivalent to:
[tex]2x ^ 2-8x + 8 = 0[/tex]
Where:
[tex]a = 2\\b = -8\\c = 8[/tex]
The discriminant is given by:
[tex]d = b ^ 2-4 (a) (c)[/tex]
Substituting the values we have:
[tex]d = (- 8) ^ 2-4 (2) (8)\\d = 64-64\\d = 0[/tex]
The discriminant is zero, so the equation has two equal real roots.
Answer:
The equation has two equal real roots.
