SOLUTION: Find all real solutions of the given equation. x+x^1/2-20=0

Question 295653: Find all real solutions of the given equation. x+x^1/2-20=0
Found 2 solutions by richwmiller, Alan3354:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x=16
check
16+4-20=0
ok
(sqrt(x)-4) (sqrt(x)+5) = 0
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x+x^1/2-20=0
--------------
The easiest way to do this one is to treat it as a quadratic in x^1/2.
Use xh for x^1/2
(xh)^2 + (xh) - 20 = 0
(xh + 5)*(xh - 4) = 0
xh = -5 --> x = 25
xh = 4 --> x = 16
------------
Much simpler and less error chance than expanding it, etc.

RELATED QUESTIONS
find all real solutions of the equation :... (answered by stanbon)
given the equation x^2 +kx +2=0 find all possible values of k for one real solution, 2... (answered by jsmallt9)
Find all real solutions of the equation (x)square/x-1 + 1/x+2 = 5/4 (answered by Nate)
1/x-1 + 1/x+2 = 5/4 Find all real solutions of the... (answered by Nate)
Find all real solutions of the equation.... (answered by josgarithmetic)
find all real solutions of the equation.... (answered by jim_thompson5910)
Find all real solutions of the equation.... (answered by Boreal)
Find all real solutions of the equation. x^3/2 + 18x^1/2 + 81x^−1/2 =... (answered by Fombitz)
Please help me solve: Find all real solutions of the given equation: (x^2 - x)^2 -... (answered by stanbon,KMST)