ia04
ia04 ia04
  • 04-04-2022
  • Mathematics
contestada

Solve the following quadratic by completing the square.

Solve the following quadratic by completing the square class=

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loneguy
loneguy loneguy
  • 04-04-2022

Answer:

[tex]x = -5 \pm \sqrt{26}[/tex]

Step-by-step explanation:

[tex]x^2+10x-1=0\\\\\implies x^2+2\cdot 5 x +5^2-5^2-1=0\\\\\implies (x+5)^2-25-1=0\\\\\implies (x+5)^2 -26=0\\\\\implies (x+5)^2 = 26\\\\\implies x +5 = \pm\sqrt{26}\\\\\implies x = -5 \pm \sqrt{26}[/tex]

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