For all functions of the form f(x) = ax^2 + bx + c, which is true when b=0
Mathematics · College · Mon Jan 18 2021
Answered on
Given the quadratic function:
ax^2 + bx + c
Determine which is true when b = 0
Explanation:
When b is equal to 0, then we will have a quadratic function that contains 2 terms. Hence we do not need to use the quadratic formula in finding for the values of x, since we can simply transpose the constant to the other side of the equation, then divide boths sides by a, and lastly we take the square root of both sides to cancel out x^2.
Solution:
In order to prove this refer to the example below.
4x^2 + (0)x - 36
4x^2 - 36
4x^2 = 36
4x^2/4 = 36/4
x^2 = 9
(x^2)^½ = (9)^½
x = 3