Question

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

Explanation:

Step1: Set function to zero

To find roots, set \( f(b) = 0 \), so \( b^2 - 75 = 0 \).

Step2: Solve for \( b \)

Add 75 to both sides: \( b^2 = 75 \). Take square roots: \( b = \pm\sqrt{75} \). Simplify \( \sqrt{75} = \sqrt{25\times3} = 5\sqrt{3} \), so \( b = \pm5\sqrt{3} \).

Answer:

A. \( b = 5\sqrt{3} \), B. \( b = -5\sqrt{3} \)