Answer:
there are two different, real roots.
Step-by-step explanation:
The coefficients of this quadratic are {1, -7, -8}. Let's find the discriminant, b^2 - 4ac. In this case a = 1, b = -7 and c = -8 and so the discriminant value is
(-7)^2 - 4(1)(-8), or 49 + 32, or 81.
Because the discriminant is positive, we know immediately that there are two different, real roots.
We are not asked to find the roots, but let's do it anyway:
-(-7) ± √81
x = ------------------ => x = 8 and x = -2 (which are real and different from
2 one another).
