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
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the quadratic equation:
f(b) = b^2 - 75
Determine the root of the equation.
Solution:
In order to determine the root of the equation, we must first transpose -75 to the other side of the equation, then take the square root of both sides. We must take note that in transposing a number, the sign changes.
= b^2 - 75
b^2 = 75
In order to take the square root of both sides, we can simply raise the two values by ½.
(b^2)^½ = (75)^½
b = + 8.66
b = - 8.66
Final Answer:
b = + 8.66
b = - 8.66