SOLUTION: solve : x² + sqrt(x) -1 ≥ 0

Algebra ->  Graphs -> SOLUTION: solve : x² + sqrt(x) -1 ≥ 0       Log On


   

Question 1172260: solve : x² + sqrt(x) -1 ≥ 0
Found 2 solutions by greenestamps, Alan3354:
Answer by greenestamps(13334) About Me  (Show Source):
You can put this solution on YOUR website!


There is no simple algebraic method for solving this equation.

Use a graphing calculator, or some method from calculus, to get an approximate decimal answer.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solve : x² + sqrt(x) -1 ≥ 0
---------------
By graphing:
x >= 0.5248885986564...
========================
I would use Newton-Raphson to solve it.
You familiar with that?