Answer:
q = 5√5 and q = -5√5
Step-by-step explanation:
Here, the given quadratic function,
[tex]f(q)=q^2-125[/tex]
For finding the roots,
[tex]f(q)=0[/tex]
[tex]\implies q^2-125=0[/tex]
Adding 125 on both sides,
[tex]q^2=125[/tex]
[tex]\implies q=\pm \sqrt{125}=\pm 5\sqrt{5}[/tex]
[tex]\implies q=5\sqrt{5}\text{ or } q=-5\sqrt{5}[/tex]
Hence, the roots of the given quadratic equation are,
q = 5√5 and q = -5√5
