Solve by using the quadratic formula to solve x2 + 6x = -3. (1 points)
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OpenStudy (mathstudent55):
First, add 3 to both sides of the equation.
Then use the quadratic formula with a = 1, b = 6, and c = 3.
Post what you get and ask questions if you have any.
OpenStudy (anonymous):
I go t -6 +- squareroot 24 over 2
OpenStudy (anonymous):
I did something wrong
OpenStudy (mathstudent55):
Good so far. Now simplify.
OpenStudy (anonymous):
when I simplified I got -6 +- sroot 12
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OpenStudy (mathstudent55):
You have this so far, right?
\( x = \dfrac{-6 \pm \sqrt{24}}{2} \)
OpenStudy (anonymous):
yes
OpenStudy (mathstudent55):
\( \sqrt{24} = \sqrt{4 \times 6} \)
You can pull out \(\sqrt{4} = 2\), giving you \(2\sqrt{6} \).
OpenStudy (anonymous):
that isn't an option I got that also as I continued
OpenStudy (mathstudent55):
We're simplifying, We're not done yet. We'll get to the answer soon.
\(x = \dfrac{-6 \pm \sqrt{24}}{2}\)
\(x = \dfrac{-6 \pm 2\sqrt{6}}{2}\)
\(x = \dfrac{(2)(-3) \pm (2)\sqrt{6}}{2}\)
\(x = \dfrac{(2)[-3 \pm \sqrt{6}]}{2}\)
\(x = -3 \pm \sqrt{6}\)
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