add 6 to both sides and minus x² from both sides √(3x)=6-x² square both sides 3x=x⁴-12x²+36 minus 2x both sides 0=x⁴-12x²+3x+36 group and factor how you do that magic (I used my calculator) we get 0=(x-3)(x-1.90057)(x²+4.90057x+6.13189)
set equal to 0 0=x-3 3=x
0=x-1.90057 1.90057=x
and the other one doesn't intersect have a 0
so the solutions are x=3 and x=1.90057
hold a second if we test x=1.90057, we get a true statemtnt