Question

One solution of a quadratic equation with real coefficients is m-i√(n), find the equation

Answer 1

your job is to multiply out
\[(x-(n+\sqrt{n}i)(x-(m-\sqrt{n}i))\]which is not has hard as it seems.

Answer 2

the constant will be
\[m^2+n\] and the "middle term" will be
\[-2mx\] so your equation will be
\[x^2-2mx+m^2+n=0\]

Answer 3

typo on first line should be
\[(x-(m+\sqrt{n}i)(x-(m-\sqrt{n}i))\]

Answer 4

how do you find the constant?

Answer 5

when you multiply a complex number
\[a+bi\] by its complex conjugate
\[a-bi\] you get
\[a^2+b^2\]

Answer 6

in this case you have
\[(m+\sqrt{n}i)(m-\sqrt{n}i)=m^2+n\]

Answer 7

thanks