formula
x = (-b [tex]+- \sqrt (b ^{2} - 4ac)[/tex])/ 2a
solucion
(x - 5)^2 = 144
x^2 -10x + 25 = 144
x^2 - 10x + 25 - 144 = 0
x^2 - 10x - 119 = 0
a = 1 b = -10 c = -119
x = (-b [tex]+- \sqrt (b ^{2} - 4ac)[/tex])/ 2a
x = [tex](-(-10) +- \sqrt ((-10) ^{2} - 4(1)(-119))[/tex]) / 2(1)
x = [tex](10 +- \sqrt (100 + 476) ) [/tex] / 2
x = (10 +- 24) / 2
[tex] x_{1} [/tex] = (10 + 24) / 2 = 34/2 =17
[tex] x_{2} [/tex] = (10 - 24) / 2 = -14 / 2 = -7