SOLUTION: Find all real solutions: x-5x^1/2+4=0 How would you solve this question?

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Question 603689: Find all real solutions: x-5x^1/2+4=0
How would you solve this question?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x-5x%5E%281%2F2%29%2B4=0

x%2B4=-5x%5E%281%2F2%29
square both sides
%28x%2B4%29%5E2=25x

x%5E2%2B8x%2B16=25x

x%5E2-17x%2B16=0
x%5E2-16x-x%2B16=0
x(x-16)-1(x-16)=0
(x-1)(x-16)=0
x= 1 OR 16