SOLUTION: 5x^2-100=0

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Question 704345: 5x^2-100=0
Answer by Simnepi(216) About Me  (Show Source):
You can put this solution on YOUR website!
First let's get the unknowns on one side of the equals and the numbers on the other side.
To do this we must add 100 to each side, giving
5x%5E2-100%2B100=0%2B100
Simplifying this gives
5x%5E2=100 (the -100 and +100 cancel each other!)
Now we can divide both sides of the equation by 5 (to get rid of the 5 in front of the x%5E2, giving
%285x%5E2%29%2F5=100%2F5
Simplifying this gives
x%5E2=20
Now because 20=4X5 we can write
x%5E2=4%285%29
to find x we have to take the square root of both sides of the equals sign
sqrt%28x%5E2%29=sqrt%284%285%29%29
giving
x=+%282sqrt%285%29%29