Teacherrrrr Teacherrrrr
  • 09-11-2018
  • Mathematics
contestada

Solve x^2-8x=3 by completing the square.Which is the solution set of the equation ?

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tramserran
tramserran tramserran
  • 09-11-2018

Answer: x = 4 +/- [tex]\sqrt{19}[/tex]

Step-by-step explanation:

x² - 8x + 16 = 3 + 16

       ↓      ↑               ↑

       [tex]\frac{-8}{2} = (4)^{2}[/tex]

         (x - 4)² = 19

         [tex]\sqrt{(x - 4)^{2}} = \sqrt{19}[/tex]

         x - 4 = +/- [tex]\sqrt{19}[/tex]

         x = 4 +/- [tex]\sqrt{19}[/tex]


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