Question

Solve the equation

Answer 1

\[3x ^{1/2} + 5x ^{1/4} -2 = 0\]

Answer 2

\[put ~x ^{\frac{ 1 }{ 4 }}=t\]
squaring
\[\left( x ^{\frac{ 1 }{ 4 }} \right)^2=t^2,or~x ^{\frac{ 1 }{ 2 }}=t^2\]
\[3t^2+5t-2=0\]
make factors or use quadratic formula to find t,then x