SOLUTION: Solve and express in simplest radical form. 3n^2 - 75 = 0 I think the answer is n = 5; n = -5 but I'm not sure.

Algebra ->  Real-numbers -> SOLUTION: Solve and express in simplest radical form. 3n^2 - 75 = 0 I think the answer is n = 5; n = -5 but I'm not sure.      Log On


   

Question 117002This question is from textbook
: Solve and express in simplest radical form.
3n^2 - 75 = 0
I think the answer is n = 5; n = -5 but I'm not sure. This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3n%5E2-75=0 Start with the given equation

3%28n%2B5%29%28n-5%29=0 Factor the left side


Now set each factor equal to zero:
n%2B5=0 or n-5=0

n=-5 or n=5 Now solve for n in each case


So our answer is
n=-5 or n=5


Notice if we graph y=3n%5E2-75 we can see that the roots are n=-5 and n=5 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+3x%5E2-75%29+