Solve x² + 9x + 9 = 0
What is the answer and how did you work it out?
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Answer:
A) [tex]x=\frac{-9\pm3\sqrt{5}}{2}[/tex]
Step-by-step explanation:
[tex]ax^2+bx+c=0[/tex]
[tex]x^2+9x+9=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-9\pm\sqrt{9^2-4(1)(9)}}{2(1)}[/tex]
[tex]x=\frac{-9\pm\sqrt{81-36}}{2}[/tex]
[tex]x=\frac{-9\pm\sqrt{45}}{2}[/tex]
[tex]x=\frac{-9\pm3\sqrt{5}}{2}[/tex]