Problema Solution
In your own words explain how to solve a quadratic equation using the method of completing the square. Demonstrate the process with your own example.
Please provide a problem for me to try.
Answer provided by our tutors
We assume the quadratic equation is Ax^2 + Bx +C = 0, A,B,C are constants.
Ax^2 + Bx +C = 0
Ax^2 + Bx = -C
A(x^2 + (B/A)x) = -C
x^2 + (B/A)x = -C/A
x^2 + (B/A)x + B^2/4A^2 = -C/A + B^2/4A^2
(x + (B/2A))^2 = -C/A + B^2/4A^2
x + (B/2A) = +/- sqrt(-C/A + B^2/4A^2)
So
x = (-B +/- sqrt(B^2 -4AC))/2A
So the solutions are x = (-B + sqrt(B^2 -4AC))/2A or x = (-B - sqrt(B^2 -4AC))/2A