Question

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Answer 1

Answer:here it is !

Step-by-step explanation:

A quadratic has real roots if the discriminant b^2−4ac is ≥0 where it has equal roots if b^2−4ac = 0

That is b^2 = 4ac

By inspection, we have b=2, 4, or 6.

Let b=2, Hence a = c = 1,

So the values of (a, b, c) is (1, 2, 1).

Let b=4, hence a = 1, c=4 or a = 4 and c = 1 or a = 2, c = 2

Hence the 3 values of (a, b, c) are (1, 4, 4), (4, 4, 1), and (2, 4, 2).

Lastly we have b = 6, hence a = 3, c = 3

That is the value of (a, b, c) is (3, 6, 3). Number of favorable scores = 5

Total number of scores = 216

Therefore the probability is 5/216