Oreolover4876
  • Oreolover4876
x^2-12x=4 What number needs to be added to complete the square.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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DangerousJesse
  • DangerousJesse
What was your first impression of this problem? Any guesses?
Oreolover4876
  • Oreolover4876
I honestly have no clue, this is from a section i havent learned yet and my teacher said that a problem like it is going to be on my final
DangerousJesse
  • DangerousJesse
Okay, I hope you don't mind me taking a minute to explain this haha.

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DangerousJesse
  • DangerousJesse
Complete the square: \[x^{2}-12 x = 4\] Subtract 4 from both sides: \[x^{2}-12 x-4 = 0\] Add 4 to both sides: x^2-12 x = 4 Group terms together on the left hand side, leaving a blank spot to add a constant in later: \[(x^2-12 x+ ) = 4\] Take one half of the coefficient of x and square it, then add it to both sides. Add \[\frac{-12}{2}^{2} = 36\] to both sides: \[(x^{2}-12 x+36) = 4+36\] \[4+36 = 40:\] \[(x^2-12 x+36) = 40\] \[x^2-12 x+36 = (x-6)^2:\]
Oreolover4876
  • Oreolover4876
Thank you sooo much!!
DangerousJesse
  • DangerousJesse
\[(x-6)^{2}-40=0\]
DangerousJesse
  • DangerousJesse
No problem :)

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