homeschoolgonewrong
homeschoolgonewrong homeschoolgonewrong
  • 09-12-2019
  • Mathematics
contestada

Question- Solve x2 + 4x = 1 for x by completing the square.


1). X= -3
2). X=-1
3). X= +/- squrt. 5 - 2
4). X= +/- squrt. 5+ 2

Question Solve x2 4x 1 for x by completing the square 1 X 3 2 X1 3 X squrt 5 2 4 X squrt 5 2 class=

Respuesta :

crisviz420
crisviz420 crisviz420
  • 09-12-2019

Answer:

x = +/- sqrt(5) - 2

Explanation:

Take the leading coefficient of the second term and multiply by (1/2):

(4/2) ---> 2

Take 2 and square it: 4

Now add 4 to both sides of the equation:

x^2 + 4x + 4 = 1 + 4

The left side is a perfect square so simplify so that it is a perfect square:

(x+2)^2 = 5

Take the square root of borh sides:

x + 2 = +/- sqrt(5)

Finally, subtract 2 on both sides:

x = +/- sqrt(5) - 2

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