which are the roots of the quadratic function f(q) = q² - 125? select two options.\n□q = 5√5\n□q = -5√5\n□q…

which are the roots of the quadratic function f(q) = q² - 125? select two options.\n□q = 5√5\n□q = -5√5\n□q = 3√5\n□q = -3√5\n□q = 25√5

which are the roots of the quadratic function f(q) = q² - 125? select two options.\n□q = 5√5\n□q = -5√5\n□q = 3√5\n□q = -3√5\n□q = 25√5

Answer

Answer:

A. $q = 5\sqrt{5}$, B. $q=- 5\sqrt{5}$

Explanation:

Step1: Set the function equal to zero

$q^{2}-125 = 0$

Step2: Isolate $q^{2}$

$q^{2}=125$

Step3: Take the square - root of both sides

$q=\pm\sqrt{125}$

Step4: Simplify $\sqrt{125}$

$\sqrt{125}=\sqrt{25\times5}=5\sqrt{5}$, so $q = 5\sqrt{5}$ or $q=-5\sqrt{5}$