Question #c78ad

1 Answer

#2x^2+5x-11=0#

#x^2+(5/2)x-11/2=0#

#x^2+(5/2)x+(5/4)^2-(5/4)^2-11/2=0#

#x^2+(5/2)x+(5/4)^2-(25/16)-88/16=0#

#(x+5/4)^2+(-113/16)=0#

#(x+5/4)^2-113/16=0#

#(x+5/4)^2 = 113/16#

#(x+5/4) =+- sqrt(113/16) = +-sqrt113 /4#

#x=-5/4+-sqrt113 /4#