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

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Answer 1 · 2018-03-03T06:39:14

#color(blue)(x = 1.3117, -3.8117#

#x^2 + (5/2)x = 5#

Add # (5/4)^2 # to both sides

#x^2 + (5/2)x + (5/4)^2 = 5 + (5/4)^2#

#(x + (5/4))^2 = 5 + (25/16) = 105/16 = sqrt((105/16))^2#

#(x + (5/4)) = +-sqrt(105/16)#

#x = +- (sqrt(105/16) - (5/4))#

#x = 1.3117, -3.8117#