- #1
Jhenrique
- 685
- 4
If ##y=x^4##, so x is equal to ##\pm \sqrt[4]{y}## or x is equal to ##\pm \sqrt[2]{\pm \sqrt[2]{y}}## ?
Well, I think that x is qual to ##\pm \sqrt[4]{y}## because
##
\\y=x^4
\\\sqrt[4]{y} = \sqrt[4]{x^4} = \sqrt[2]{\sqrt[2]{(x^2)^2}} = \sqrt[2]{|x^2|} = \sqrt[2]{|x|^2} = ||x|| = |x|
\\ \pm \sqrt[4]{y}=x
##
Right!?
Well, I think that x is qual to ##\pm \sqrt[4]{y}## because
##
\\y=x^4
\\\sqrt[4]{y} = \sqrt[4]{x^4} = \sqrt[2]{\sqrt[2]{(x^2)^2}} = \sqrt[2]{|x^2|} = \sqrt[2]{|x|^2} = ||x|| = |x|
\\ \pm \sqrt[4]{y}=x
##
Right!?