which are the roots of the quadratic function f(q) = q² - 125? select two options. q = 5√5 q = -5√5 q = 3√5…
which are the roots of the quadratic function f(q) = q² - 125? select two options. q = 5√5 q = -5√5 q = 3√5 q = -3√5 q = 25√5
Answer
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 $q=-5\sqrt{5}$
Answer:
$q = 5\sqrt{5}$, $q=-5\sqrt{5}$