Answer:
Step-by-step explanation:
D. 4.15
Answer:
-8
Step-by-step explanation:
For roots r and s, the quadratic can be factored ...
f(x) = (x -r)(x -s) = x^2 -(r+s)x +rs
Then the value of r^2+s^2 can be determined from the coefficient of x (-(r+s)) and the constant (rs) by ...
r^2 +s^2 = (-(r+s))^2 -2(rs) = (r^2 +2rs +s^2) -2rs = r^2 +s^2
Comparing this to your given equation, we have the coefficient of x as (-2m) and the constant term as (m^2+2m+3). Forming the expression ...
(x-coefficient)^2 -2(constant term)
we get ...
r^2 +s^2 = (-2m)^2 -2(m^2 +2m +3) = 2m^2 -4m -6
r^2 +s^2 = 2(m -1)^2 -8
The minimum value of this quadratic expression is where m=1 and the squared term is zero. That minimum value is -8.
The question is asking to write x^2-8x+13 in the form of (x-1)2 = b where as a and b are integers, base on the said formula, I would say that the correct answer would be (<span>x - 4)2 = 3, I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications </span>
Answer:
Option C
Step-by-step explanation:
If you factor it you get (2x-3)(2x-1) also you may solve this using the FOIL method to get the same answer as 4x²-6x-2x+3