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gfields444
 2 years ago
Solve x2 – 4x = 12 by completing the square
gfields444
 2 years ago
Solve x2 – 4x = 12 by completing the square

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mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2\[\large{x^24x12=0}\] right?

ProgramGuru
 2 years ago
Best ResponseYou've already chosen the best response.1you just add 4 to both sides. that will make it \[(x2)^{2}=16\]

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2ok so now .. \[\large{x^24x12=x^24x+416=0}\] right?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2now can u write \[\large{x^24x+4=(x2)^2}\] ??

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2(x)^2 2(2)(x)+2^2 = a^22ab+b^2=(ab)^2=(x2)^2

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2ok so : (x^24x+4) = (x2)^2 ?

gfields444
 2 years ago
Best ResponseYou've already chosen the best response.0x^24x12=0 x=2 x=6? or am I doing it wrong

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2I think you are doing it wrong ; : x^24x12 = 0 \[\large{x^24x+416=0}\] \[\large{(x2)^216=0}\] \[\large{(x24)(x2+4)=0}\] \[\large{(x6)(x+2)=0}\] hence either x = 6 or x = 2

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2always remember that : \[\large{(ab)^2=a^22ab+b^2}\] \[\large{(a+b)^2=a^2+2ab+b^2}\]

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2or : \[\large{(a\pm b)^2=a^2\pm 2ab +b^2}\]

gfields444
 2 years ago
Best ResponseYou've already chosen the best response.0You're awesome! Thank you so much! The formulas were very helpful :)

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2nice to hear .. :) best of luck
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