typical41
typical41 typical41
  • 11-07-2020
  • Mathematics
contestada

Rewrite the equation by completing the square.
x^2 + 2x - 8 = 0

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 11-07-2020

Answer:

[tex]\boxed{\sf \ \ (x+1)^2-9=0 \ \ }[/tex]

Step-by-step explanation:

hello,

we can notice that

[tex](x+1)^2=x^2+2x+1[/tex]

so

[tex]x^2+2x=(x+1)^2-1[/tex]

and then

[tex]x^2+2x-8=0\\<=> (x+1)^2-1-8=0\\\\<=> (x+1)^2=9\\<=> x+1=3 \ or \ x+1=-3\\<=> x=2 \ or \ x=-4\\[/tex]

solutions are 2 and -4

hope this helps

Answer Link
unz unz
  • 12-01-2021

the answers are actually 1 and 9.

Answer Link

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