Question

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

Answer 1

The given quadratic function is b^2 - 75.

The roots can be obtained by equating the given function with zero.

so, b^2 - 75 = 0

=> b^2 = 75

=> b = ± 5√3

Therefore the roots of given quadratic function are 5√3 and -5√3.

Explanation:

Answer 2

b =± 5 sqrt(3)

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)