Question

Solve the equation.

Answer 1

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

Answer 2

where is the variable?

Answer 3

Oops, sorrry. It's \[3x^{1/2} + 5x^{1/4} - 2=0\]

Answer 4

if we let y = x^(1/4) then x^(1/2) = y^2
so we need to solve
3y^2 + 5y - 2 = 0

Answer 5

can you solve that /
It will factor

Answer 6

Okay. I understand. Doesn't that get you 1/3 and -2, but the -2 goes away?

Answer 7

solution is 1/3 and - 2 yes

Answer 8

And then what?

Answer 9

so we have x^(1/4) = 1/3 which is easy to solve
x^(1/4) = -2 has no real solutions

Answer 10

Can you tell me how to solve it?

Answer 11

x^(1/4) = 1/3
take 4th power of each side
x = (1/3)^4 = ?

Answer 12

= 1 / 3^4 = 1/81

Answer 13

ok?

Answer 14

Makes sense. Thanks so much!

Answer 15

yw