How do you solve 5x^2-7=0?

1 Answer
Sep 25, 2015

x=+-sqrt(35)/5

Explanation:

You can solve this by isolating x.

5x^2−7=0
5x^2−7+7=0+7
5x^2=7
1/5(5x^2)=1/5(7)
x^2=7/5
x=+-sqrt(7/5)

You can have that as your final answer or you can rationalize it:
x=+-sqrt(7/5)
x=+-sqrt(7/5*5/5)
x=+-sqrt((7*5)/5^2)
x=+-sqrt(35)/5