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

Answer:

q = 5√5 and q = -5√5

Step-by-step 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,

$q^2=125$              

$\implies q=\pm \sqrt{125}=\pm 5\sqrt{5}$

$\implies q=5\sqrt{5}\text{ or } q=-5\sqrt{5}$

Hence, the roots of the given quadratic equation are,

q = 5√5 and q = -5√5