SOLUTION: How do I solve this equation 2x + sqrt(x) -1 = 0 for all real numbers?

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Question 275940: How do I solve this equation 2x + sqrt(x) -1 = 0 for all real numbers?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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How do I solve this equation 2x + sqrt(x) -1 = 0 for all real numbers?
:
2x + sqrt(x) - 1 = 0
:
sqrt(x) = -2x + 1
Square both sides
x = (-2x+1)^2
:
x = 4x^2 - 4x + 1
:
0 = 4x^2 - 4x -x + 1
:
0 = 4x^2 - 5x + 1
Factor
(4x - 1)(x - 1) = 0
Two solutions
x = 1
and
x = .25
:
Check both solutions in original equation. Only x = .25 satisfies the equation