Question 362310
If {{{7i}}} and {{{-7i}}} are roots, then {{{(x-7i)}}} and {{{(x+7i)}}} are factors.
{{{f(x)=(x-7i)(x+7i)}}}
{{{f(x)=x^2-7ix+7ix-49i^2}}}
{{{highlight(f(x)=x^2+49)}}}
Any non-zero constant multiplying f(x) is also another quadratic equation that is a solution.