Question

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Answer 1

This one is a good candidate for the quadratic formula since you don't have rational roots. The formula is:\[x = \frac{ -b \pm \sqrt{b ^{2}-4ac} }{ 2a }\]and a = 1, b = 8, and c = 4 because your general form is

ax^2 + bx + c = 0

Answer 2

You're on the right track. Here's the simplification:

Answer 3

\[\frac{ -8 \pm \sqrt{48} }{ 2 } = \frac{ -8 \pm 2\sqrt{12} }{ 2 } = -4 \pm \sqrt{12}\]which equals\[-4 \pm 2 \sqrt{3}\]

Answer 4

You're welcome!

Answer 5

Good luck to you in all of your studies and thanks for the recognition!