How do you solve #x^2-11x+3=5# by completing the square?

1 Answer
Binayaka C.
Feb 1, 2017

Solution: # x= 11.1789 or x= -0.1789#

Explanation:

#x^2 -11x +3 = 5 or or x^2 -11x = 2 or x^2 -11x +(11/2)^2 = 2 +(11/2)^2 or (x - 11/2 )^2 = 129/4 :. (x-11/2) = +-sqrt(129/4) or (x-11/2) = +-sqrt129/2 :. x =11/2+sqrt129/2 = 1/2(11+sqrt129)= 11.1789 or x =11/2- sqrt129/2 = 1/2(11-sqrt129)= -0.1789#
Solution: # x= 11.1789 (4dp) or x= -0.1789 (4dp)# [Ans]

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