SOLUTION: Find the real solutions of each equation. 1. x^(3/4) - 9x^(1/4) = 0 2. Let rt = root rt{100 - rt{x}} = rt{x^2} Note: IF there are no real solutions, say so.

Algebra ->  Radicals -> SOLUTION: Find the real solutions of each equation. 1. x^(3/4) - 9x^(1/4) = 0 2. Let rt = root rt{100 - rt{x}} = rt{x^2} Note: IF there are no real solutions, say so.       Log On


   

Question 1207631: Find the real solutions of each equation.

1. x^(3/4) - 9x^(1/4) = 0

2. Let rt = root

rt{100 - rt{x}} = rt{x^2}

Note: IF there are no real solutions, say so.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.


        In this my post,  I will solve equation  1,  ONLY. 


    x^(3/4) - 9x^(1/4) = 0.    


Factor left side

    x^(1/4)*(x^(1/2)-9) = 0.


One solution is x= 0.


Other solution is from  x^(1/2)-9 = 0,  which is the same as  sqrt%28x%29 = 9,

and implies  x = 81.


ANSWER.  There are two real solutions:  x= 0  and  x= 81.

Solved.

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