Answer:
[tex]5\sqrt{5}[/tex] and [tex]-5\sqrt{5}[/tex]
Step-by-step explanation:
We want to find roots of the function: [tex]f(q)=q^2-125[/tex]. The roots are the numbers that make the function f(q) = 0. So set the expression equal to 0:
[tex]q^2-125=0[/tex]
Add 125 to both sides:
[tex]q^2=125[/tex]
Square root both sides:
[tex]q=[/tex] +/- [tex]\sqrt{125}[/tex] = +/- [tex]\sqrt{5^2*5}[/tex] = +/- [tex]5\sqrt{5}[/tex]
So, the answers are [tex]5\sqrt{5}[/tex] and [tex]-5\sqrt{5}[/tex]. (Sorry, I can't tell what the answer choices are)
Hope this helps!
