Question #c78ad

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Answer 1 · 2015-05-14T17:44:27

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

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

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

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

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

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

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

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

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