Respuesta :
(-0.359, 8.359) will be the solution set.
Step-by-step explanation:
The given equation is x² - 8x - 3 = 0
We have to get the solution set for the equation.
We will apply the quadratic formula to get the solution.
[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}=\frac{8\pm \sqrt{64+4\times 3}}{2}=\frac{8\pm \sqrt{64+12}}{2}=\frac{8\pm \sqrt{76}}{2}=\frac{8\pm 2\sqrt{19}}{2}=4\pm \sqrt{19}[/tex]
Therefore solution set of the equation will be
(-0.359, 8.359)
