Question

Which are the roots of the quadratic function f(q) = q2 – 125

Answer 1

q = ± 5
`√(5)`

Explanation:

Given

q² - 125 = 0 ( add 125 to both sides )

q² = 125 ( take the square root of both sides )

q = ±
`√(125)`

= ±
`√(25(5))`

= ±
`√(25)` ×
`√(5)`

= ± 5
`√(5)`

Answer 2

Roots are
`q=5√(5),-5√(5)`

Explanation:

Given : Function
`f(q)=q^2-125`

To find : Which are the roots of the quadratic function ?

Solution :

To find the roots equate the function to zero.

`q^2-125=0`

Add 125 both side,

`q^2=125`

Taking root both side,

`q=\pm √(125)`

`q=\pm √(5* 5* 5)`

`q=\pm 5√(5)`

Therefore, roots are
`q=5√(5),-5√(5)`