Question

Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.

Answer 1

Answer:

q = 5 startroot 5 endroot

q = Negative 5 startroot 5 endroot

Step-by-step explanation:

q² - 125 = 0

q² = 125

q = +/- sqrt(125)

q = +/- 5sqrt(5)

Answer 2

Answer:

$5\sqrt{5}$ and $-5\sqrt{5}$

Step-by-step explanation:

We want to find roots of the function: $f(q)=q^2-125$. The roots are the numbers that make the function f(q) = 0. So set the expression equal to 0:

$q^2-125=0$

Add 125 to both sides:

$q^2=125$

Square root both sides:

$q=$ +/- $\sqrt{125}$ = +/- $\sqrt{5^2*5}$ = +/- $5\sqrt{5}$

So, the answers are $5\sqrt{5}$ and $-5\sqrt{5}$. (Sorry, I can't tell what the answer choices are)

Hope this helps!