How do you solve using the completing the square method #x^2-14x+5=0 #?

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Answer 1 · 2016-04-03T01:33:10

#x = 7+-2sqrt(11)#

#x^2-14x+5 = 0#

#=> x^2-14x = -5#

#=> x^2 - 14x + 49 = -5+49#

#=> x^2-14x+49 = 44#

#=> (x-7)^2 = 44#

#=> x-7 = +-sqrt(44) = +-2sqrt(11)#

#:. x = 7+-2sqrt(11)#