Question

Which are the roots of the quadratic function f(b) = b2 – 75? Select two options.

b = 5 StartRoot 3 EndRoot
b = Negative 5 StartRoot 5 Endroot
b = 3 StartRoot 5 Endroot
b = Negative 3 StartRoot 5 EndRoot
b = 25 StartRoot 5 EndRoot

Answer 1

Solve b^2 − 75 = 0 → b^2 = 75 → b = ±√75 = ±√(25·3) = ±5√3.

So the roots are b = 5√3 and b = −5√3.