Question

Which are the roots of the quadratic function f(q) = q2 – 125? Check all that apply.

Answer 1

f(q)=0
so, q^2 - 125 = 0
(q)^2 - (5)^2 = 0
(q+5) (q-5) = 0
q = 5, -5

Answer 2

q = 5√5 and q = -5√5

Explanation:

Here, the given quadratic function,

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

For finding the roots,

`f(q)=0`

`\implies q^2-125=0`

Adding 125 on both sides,

`q^2=125`

`\implies q=\pm √(125)=\pm 5√(5)`

`\implies q=5√(5)\text{ or } q=-5√(5)`

Hence, the roots of the given quadratic equation are,

q = 5√5 and q = -5√5