How do you solve using the completing the square method $x^{2} - 12 x + 36 = 25$ $x^2 - 12x + 36 = 25$ ?

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Answer 1 · 2016-03-04T14:02:57

The solutions are:
$x = 11$ $color(blue)(x=11$

$x = 1$ $color(blue)(x=1$

$x^{2} - 12 x + 36 = 25$ $x^2 -12x +36=25$

Using the Identity ${(a - b)}^{2} = a^{2} - 2 a b + b^{2}$ $color(blue)((a-b)^2 = a^2 - 2ab + b^2$ , we get
${(x - 6)}^{2} = 25$ $(x-6)^2 = 25$

$(x - 6) = \pm \sqrt{25}$ $(x-6) =+-sqrt 25$

How do you solve using the completing the square method x2−12x+36=25x^2 - 12x + 36 = 25 ?