Question: if a parabola never touches the x axis, then it doesn't have any real roots or solutions
Answer: True
A real solution only occurs if the graph touches or crosses the x axis, as the x intercept (or root) is a visual indication of a real number solution. In this case, we have 2 complex solutions for the parabola
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Question: What number is equivalent to sqrt(-49) ?
Answer: choice A) 7i
Simplify as follows
sqrt(-49) = sqrt(-1*7^2)
sqrt(-49) = sqrt(-1)*sqrt(7^2)
sqrt(-49) = i*7
sqrt(-49) = 7i
note: be careful not to toss in -7i as one of the answers, because it's not. The square root of a number is exactly one output. For instance, if you take the square root of 25, the result is 5 (not plus or minus 5).
