Solve quadratic equation by completing the square. Express your answer as exact roots ?

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Answer 1 · 2018-03-07T09:38:59

#x=4+-sqrt22#

#0.5x^2-4x-6=0#

first mutilply by 2 to remove the decimals

#x^2-8x-12=0#

now CTS and solve for #x#

#[x^2-8x+(-4)^2]-(-4)^2-6=0#

#(x-4)^2-16-6=0#

#(x-4)^2=22#

#x-4=+-sqrt22#

#x=4+-sqrt22#