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Solve x2 - 8x = 3 by completing the square. Which is the solution set
[4 - 19,4 + /19}
{4 - V11, 4 + /11)
{4 - V8, 4 + }
[4 - V3, 4 + (3)

Respuesta :

Answer:

4\pm\sqrt{19}

Step-by-step explanation:

Move everything to left side

[tex]x^{2} -8x -3 =0[/tex]

Now to solve this square equation we need to find Descriminant

[tex]D=b^{2} -4ac=64+12=76[/tex]

As Descriminant D is greater than 0 then we have 2 solutions which we can calculate by this formula

[tex]x_{1,2}=\frac{-b\pm\sqrt{D}}{2a} =\frac{8\pm2\sqrt{19}}{2}=4\pm\sqrt{19}[/tex]

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