Explain how you know \(\sqrt{3x+2}=\text-16\) has no solutions.

Use the graphs to determine the number of real solutions and non-real solutions to each equation. The types of solutions can be found without doing any calculations.

1. \(x^2-6x+7=0\)
2. \(3x^2+2x+1=0\)
3. \(\text-x^2-3x+2=0\)
4. \(x^2-6x+7=\text-2\)
5. \(\text-x^2-3x+2=6\)
6. \(3x^2+2x+1=2\)

1. Write \((5-5i)^2\) in the form \(a+bi\), where \(a\) and \(b\) are real numbers.
2. Write \((5-5i)^4\) in the form \(a+bi\), where \(a\) and \(b\) are real numbers.

What number \(n\) makes this equation true?

\(x^2+11x+\frac{121}{4} = (x+n)^2\)