9514 1404 393
Answer:
-5 ± 6i
Step-by-step explanation:
To use the quadratic formula, we need the equation in standard form. Adding 10x gives ...
x^2 +10x +61 = 0
Then a=1, b=10, c=61, and the solutions are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-10\pm\sqrt{10^2-4(1)(61)}}{2(1)}\\\\=\dfrac{-10\pm\sqrt{-144}}{2}=\dfrac{-10\pm12i}{2}\\\\ \boxed{x=\{-5-6i,-6+6i\}}[/tex]
