Question

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

Answer 1

Answer:

b =± 5 sqrt(3)

Step-by-step explanation:

f(b) = b^2 – 75

To find the roots set the equation equal to zero

b^2 -75 =0

Add 75 to each side

b^2 – 75+75 = 0+57

b^2 = 75

Take the square root of each side

sqrt(b^2) = ±sqrt(75)

b = ±sqrt(3*25)

We know that sqrt(ac) = sqrt(a) sqrt(c)

b = ±sqrt(3)*sqrt(25)

b =± 5 sqrt(3)