Question 869973
If something is the complementary angle to itself, it must be 45, because only 45*2 is 90.
{{{45=x^2-x+50}}}
Subtract 45 from both sides
{{{0=x^2-x+5}}}
Use the quadratic formula:
 {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
 {{{x = (1 +- sqrt( 1^2-4*1*5 ))/(2*1) }}}
 {{{x = (1 +- sqrt( 1-20 ))/(2) }}}
 {{{x = (1 +- sqrt( -19 ))/(2) }}}
There is no real sqrt of -19.
NO SOLUTION