Question

Solve the equation.

Answer 1

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

Answer 2

Well first get 2 to the other side of the equation.

You will have 3x^1/2 + 5x^1/4 = 2

Answer 3

Alright, next?

Answer 4

then imagine that x^(1/4)=m so we can write that equation with m.

3m^2+5m-2=0

Answer 5

okay

Answer 6

now we use quadratic formula.
\[\Delta =25-4*-2*3=25+24=49\]\[m_{1}=\frac{ -5+7 }{ 6 }=\frac{ 1 }{ 3 }\]\[m_{2}=\frac{ -5-7 }{ 6 }=-2\]

Answer 7

Okay, I understand so far. What's next?

Answer 8

@amirreza1870