A Nice Olympiad Math Problem X^2x^6=3 | Quick Trick!!!

In This video, you will learn how to quickly solve the given nice Math Olympiad Question with the beautiful best trick. It is a math Olympiad Challenge question.

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[cdiesch]

you can get quite easily to x^6 =3 which has 2 real solutions x = 3^(1/6) and x = -3^(1/6) and 4 complex solutions; can be easily found by first applying diferrence of 2 squares and then difference or sum of two cubes!

[LucasRubLima]

Teacher, I think I made it simplest
x^2x⁶= 3
Multiplied 2 both sides
2x^2x⁶= 2•3= 6
So I expoent 6 both sides
2x⁶^2x⁶= 6⁶
By the rule
(a^n)^m= a^nm = (a^m)^n
So 2x⁶= 6
Divided by 2 both sides
x⁶=3 and x=3^⅙
This is correct?