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ANSWER
The discriminant is zero.
The given equation has one real root.
EXPLANATION
The given quadratic equation is:
We rewrite this in the form;
This means that,
a=-2, b= 8, c=-8
The discriminant is given by;
D=b² - 4ac
That is:
Therefore the discriminant is zero.
This tells us that the quadratic equation has one real root.
In order words, the given quadratic equation has a repeated real root.
Using the PSN method:
P = -9
S = 8
So N = 9,-1
Using 9 and -1 in the original equation gives:
P = -9
S = 8
So N = 9,-1
Using 9 and -1 in the original equation gives: