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

Question

954 views around the world

You can reuse this answer
Creative Commons License

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 $x$

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

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

$(x-4)^2=22$

$x-4=+-sqrt22$

$x=4+-sqrt22$