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
