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anonymous
 one year ago
complete the square.
4x^216x+3=0
anonymous
 one year ago
complete the square. 4x^216x+3=0

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i know that the answer is 4(x+2)^2+19 but i don't know how to get there..

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1oops rewrite it as \[4x^2 16x = 3\] is that ok..?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes and i know the next step would be \[4(x ^{2}+4x)=3\]

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1great... so what is needed inside the brackets to complete the square..?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[4(x ^{2}+4x+4)=3+4\]

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1no you don't add 4.... you need to have \[4(x^2 + 4x + 4) = 3 + (4 \times 4)\] because of the common factor... think about what happens when you distribute

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0.. i don't get that part

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1ok... 4 inside the brackets is correct... \[4(x^3 + 6x + 4) = 3\] so I'll distribute \[4x^2 16x  16 = 3 +??\] after distributing what value on the left needs to be added to the right...?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OH.. 16.. because of the 4 that i factored out before.. so now i have to factor it back in

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1so the value has to be 16 so you get 4(x^2 + 4x + 4) = 3 16 or 4(x + 2)^2 = 19 which becomes \[4(x + 2)^2 + 19 = 0\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It feels great to finally understand how to complete the square after 3 years. thanks

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1lol.. well it is tough when the coefficient of x^2 isn't 1

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.0This way might be easier: http://www.1728.org/quadr2.htm 4x^2 16x +3=0 1) Move the "non X" term to the right: 4x^2 16x= 3 2) Divide the equation by the coefficient of X² which in this case is 4 x^2 +4x = .75 3) Now here's the "completing the square" stage in which we: • take the coefficient of X which is +4 • divide it by 2 which equals 2 • square that number which equals 4 • then add it to both sides of the equation. x^2 +4x +4 = 4.75 (X+2) * (x+2) = 4.75 4) Take the square root of both sides of the equation: x +2 = square root (4.75) x +2 = 2.1794494718 AND x +2 = 2.1794494718 x = .1794494718 x = 4.1794494718
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