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x^2-4x+8=0
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no real solution [4 +/- sqrt(16-32)]/2 2 +/- 2i
\[x= (-b \pm \sqrt{b ^{2}-4ac})/2a\] \[x _{1} = (-(-4)+\sqrt{(-4)^{2}-4\times1\times8} )/ 2\times1\] \[=(4+\sqrt{16-32} ) / 2\] \[=( 4+4i)/2\] =2+2i \[x_{2} = (-(-4)-\sqrt{(-4)^{2}-4\times1\times8})/2\times1\] \[=(4-\sqrt{16-32})/2\] \[=(4-4i)/2\] =2-2i
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