SOLUTION: x^1/2 + 3x^1/4

SOLUTION: x^1/2 + 3x^1/4 - 10=0

Question 490215: x^1/2 + 3x^1/4 - 10=0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x^1/2 + 3x^1/4 - 10=0
---
Quadratic form with w = x^(1/4)
---
w^2 + 3w - 10 = 0
Factor:
(w+5)(w-2) = 0
w = 2 or w = -5
---
Solve for "x":
w = x^(1/4) = 2 or w = x^(1/4) = (-5)
w = 2^4 or w = (-5)^4
w = 16 or w = 625
======================
Cheers,
Stan H.
======================
RELATED QUESTIONS
x^2 - 3x^1/2 - 10 =... (answered by mickclns)

1. x^4 + 3x^2 - 4... (answered by sofiyac)

4/3x- 1/2=0, then... (answered by Cromlix,Alan3354)

2(x-1)/3 + 3x/4 = 0 (answered by stanbon)

3x/2 +... (answered by drk)

3x-1/2 -3(x-... (answered by solver91311)

{{ x^1/2-3x^1/4+2=0... (answered by jsmallt9)

x^1/2-3x^1/4+2=0 (answered by stanbon)

X^1/2-3x^1/4+2=0 (answered by josgarithmetic,ikleyn,MathTherapy)