Question

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Answer 1

The discriminant is the value of b²-4ac
in this case, b=-8, a=4, c=4, so the discriminant is (-8)²-4*4*4=0
when the discriminant is 0, there is one rational solution. 
when the discriminant is larger than 0, there are two rational solutions.
when the discriminant is smaller than 0, there are no real solutions. <span />