kinkinshute kinkinshute
  • 26-03-2021
  • Mathematics
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Solve x2 + 8x − 3 = 0 using the completing-the-square method

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ponton
ponton ponton
  • 26-03-2021

Answer:

[tex]\sqrt{19} - 4 \\or\\ - \sqrt{19} - 4[/tex]

Step-by-step explanation:

[tex]x^2+8x-3=0 \Rightarrow x^2+2.4.x+16-19=0\\\Rightarrow (x+4)^2=19 \\Then\\ x+4 = \sqrt{19} \Rightarrow x= \sqrt{19} - 4 \\or\\x+4 = -\sqrt{19} \Rightarrow x= -\sqrt{19} - 4[/tex]

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