How do you solve #3s ^ { 2} - 69s = - 144# by completing the square?

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Answer 1 · 2017-12-07T11:57:03

Solution : #s~~20.68 or s ~~ 2.32 #

#3s^2-69s=-144 or 3(s^2-23s) =-144# or

# 3(s^2-23s+11.5^2) = 3*11.5^2-144# or

#3(s-11.5)^2=252.75or (s-11.5)^2=252.75/3# or

#(s-11.5)^2=84.25 or (s-11.5)=sqrt84.25 # or

#(s-11.5)=+-9.18 :. s= 11.5+-9.18# or

#s~~20.68 (2dp) or s ~~ 2.32 (2dp)#

Solution : #s~~20.68 or s ~~ 2.32 # [Ans]