Question

Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.

q= 5/5
q = -5/5
q=375
q=-3/5
q = 2575​

Answer 1

Explanation:

Answer 2

None of the options are correct

Explanation:

Given

`f(q) = q^2 - 125`

Required

The roots of the function

Since the function is a quadratic function; to get the roots of the function, f(q) must be equal to 0

`f(q) = q^2 - 125` becomes

`0 = q^2 - 125`

Make
`q^2` the subject of formula

`125= q^2`

Rearrange

`q^2 = 125`

Take square roots of both sides

`√(q^2) = √(125)`

`q = √(125)`

Expand the square root of 125

`q = √(25 * 5)`

`q = √(25) * √(5)`

q = ±5
`* √(5)`

Split into 2

`q = 5 * √(5)` or
`q = -5 * √(5)`

`q = 5 √(5)` or
`q = -5 √(5)`

Hence, the roots of the quadratic function are
`q = 5 √(5)` or
`q = -5 √(5)`