Answer:
x=0,[tex]\sqrt[6]{5}[/tex]
Decimal form,
x=0,1.30766048......
Step-by-step explanation:
x[tex]\sqrt{5}[/tex]=[tex]x^{4}[/tex]
x[tex]\sqrt{5}[/tex]-[tex]x^{4}[/tex]=0
(take x as a common factor)
x([tex]\sqrt{5}[/tex]-[tex]x^{3}[/tex])=0
So,
x=0 and [tex]\sqrt{5}[/tex]-[tex]x^{3}[/tex]=0
for [tex]\sqrt{5[/tex]-[tex]x^{3}[/tex]=0
(add [tex]x^{3}[/tex] for both sides)
[tex]\sqrt{5}[/tex]=[tex]x^{3}[/tex]
x=[tex]\sqrt[3]{\sqrt[2]{5} }[/tex] (multiply 3 by 2)
x=[tex]\sqrt[6]{5}[/tex]
So,
x=0,[tex]\sqrt[6]{5}[/tex]
