Question

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

q = 55 StartRoot 5 EndRoot
q = -5Negative 5 StartRoot 5 Endroot
q = 33 StartRoot 5 Endroot
q = -3Negative 3 StartRoot 5 EndRoot
q = 2525 StartRoot 5 EndRoot

Answer 1

q = 5 startroot 5 endroot

q = Negative 5 startroot 5 endroot

Explanation:

q² - 125 = 0

q² = 125

q = +/- sqrt(125)

q = +/- 5sqrt(5)

Answer 2

`5√(5)` and
`-5√(5)`

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=` +/-
`√(125)` = +/-
`√(5^2*5)` = +/-
`5√(5)`

So, the answers are
`5√(5)` and
`-5√(5)`. (Sorry, I can't tell what the answer choices are)

Hope this helps!