Question 439568
{{{ (x^5-62x^3-175439x)/(x^2-451)=0 }}}
Every term in the numerator has an {{{x}}} in it,
so factor out an {{{x}}}
{{{ (x*(x^4-62x^2-175439))/(x^2-451)=0 }}}
On my calculator I did {{{ 175439/451 = 389 }}}
so, I guessed that the numerator could be factored as:
{{{ (x*(x^2 - 451)*(x^2 + 389))/(x^2-451)=0 }}}
This worked out exactly right, so cancelling, I get:
{{{ (x*(x^2 + 389))=0 }}}
The solutions are:
{{{x = 0}}}
and
{{{ x^2 + 389 = 0 }}}
{{{ x^2 = -389 }}}
{{{ x = sqrt(-389)}}}
{{{ x = 19.723i }}}
and
{{{ x = -19.723i }}} (the negative square root)
You can check by plugging this back into original equation