Question

Find the value of x. x√5=x^4​

Answer 1

Answer:

x=0,$\sqrt[6]{5}$

Decimal form,

x=0,1.30766048......

Step-by-step explanation:

x$\sqrt{5}$=$x^{4}$

x$\sqrt{5}$-$x^{4}$=0

(take x as a common factor)

x($\sqrt{5}$-$x^{3}$)=0

So,

x=0 and $\sqrt{5}$-$x^{3}$=0

for $\sqrt{5$-$x^{3}$=0

(add $x^{3}$ for both sides)

$\sqrt{5}$=$x^{3}$

x=$\sqrt[3]{\sqrt[2]{5} }$ (multiply 3 by 2)

x=$\sqrt[6]{5}$

So,

x=0,$\sqrt[6]{5}$