which are the roots of the quadratic function f(b) = b² - 75? select two options.\n□b = 5√3\n□b = -5√3\n□b =…

which are the roots of the quadratic function f(b) = b² - 75? select two options.\n□b = 5√3\n□b = -5√3\n□b = 3√5\n□b = -3√5\n□b = 25√3

which are the roots of the quadratic function f(b) = b² - 75? select two options.\n□b = 5√3\n□b = -5√3\n□b = 3√5\n□b = -3√5\n□b = 25√3

Answer

Explanation:

Step1: Set the function equal to zero

Set $f(b)=0$, so $b^{2}-75 = 0$.

Step2: Isolate $b^{2}$

Add 75 to both sides of the equation: $b^{2}=75$.

Step3: Solve for $b$

Take the square - root of both sides. Remember, when $x^{2}=a(a\geq0)$, $x=\pm\sqrt{a}$. So $b=\pm\sqrt{75}$. Simplify $\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}$. Then $b = 5\sqrt{3}$ or $b=-5\sqrt{3}$.

Answer:

A. $b = 5\sqrt{3}$ B. $b=-5\sqrt{3}$