downardjoshua24 downardjoshua24
  • 19-05-2021
  • Mathematics
contestada

Solve the following quadratic by
completing the square.
y = x2 + 10x + 10

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 19-05-2021

Answer:

        x = -5 - √15    or   x = -5 + √15

Step-by-step explanation:

[tex]y = x^2+10x+10\\\\y=x^2+10x+25-25+10\\\\y=(x+5)^2-15\\\\y=0\quad\iff\quad (x+5)^2-15=0\\\\(x+5)^2=15\\\\x+5=\pm\sqrt{15}\\\\x=-5-\sqrt{15}\quad or\quad x= -5+\sqrt{15}[/tex]

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