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The method of completing the square was used to solve the equation 2x^2 - 12x + 6 =0 which equation is a correct step when using this method ?
1- (x - 3 )^2 =6
2- (x - 3 )^2 =-6
3- (x - 3 )^2 =3
4- (x - 3 )^2 = -3

Respuesta :

perixwinkle
The equation we are looking at would have to be divided by 2 first.
x²-6x+3
When looking at that, I can tell that 1 may be the possible answer since you would have to subtract 6 from both sides. That would leave a 3. Let's check.
(x-3)(x-3)
x²-6x+9=6
Now subtract 6 from both sides.
x²-6x+3=0
So, 1- (x-3)²=6 would be used.

Option 3rd   [tex](x-3)^2 = 3[/tex]    is the correct  step.

Given equation is:

[tex]2x^2 -12x + 6 = 0[/tex]

For using completing the squares method, we, as the name suggests, try to complete the square on LHS.

[tex]2x^2 -12x + 6 = 0\\\\x^2 -6x + 3 = 0\\\\x^2 -6x + 9 - 3 = 0\\\\{(x-3)^2} - 3 = 0\\\\(x-3)^2 = 3[/tex]

Thus option 3rd  [tex](x-3)^2 = 3[/tex]    is the correct  step.

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