8. if the discriminant is positive, there will be real solutions.

2

Step-by-step explanation:

The discriminant is the quantity under the radical in the quadratic formula ...

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[tex]

When that quantity is positive, the square root is real, and the formula gives two real values for x.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

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step-by-step explanation: