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Find all real solutions to\[x^2+4x+4=100x^2+20x+1.\]If you find more than one, then list the values separated by commas.
Hint(s):
The expressions $x^2 + 4x + 4$ and $100x^2 + 20x + 1$ each have a special property.

 Jan 18, 2021
 #1
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x = 1/9, -3/11.

 

Hope this helped!

Caffeine :)

 Jan 18, 2021
 #2
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Gather term to one side

99x^2 + 16x -3 = 0    use quadratic formula to find   x = 22/198    and  - 54/198     or 1/9    and -3/11   Just as Caffeine computed !

 Jan 18, 2021

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