Answer:
±11.18
Explanation:
the function is:
![f(q)=q^2-125](https://img.qammunity.org/2020/formulas/mathematics/middle-school/65gzsuy5ce7y7bvyn76ca920tp9luyjali.png)
and to find the roots we need to find which values of
makes the function result in zero:
![q^2-125=0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iqgqejfoa1r7cye9cjukkhnmh1yd8n2znm.png)
solving for
:
![q^2=125\\q=√(125)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bl7bxgi45enlidj6gquqzgn7mhqxpizeuq.png)
A square root has two solutions, one positive and one negative, so the solutions are:
±
≈ ±11.18
the roots of the quadratic equation are +11.18 and -11.18