DorFuchs - Quadratic Formula Song lyrics

If you try to solve a quadratic equation
I promise you: It's possible
Without any frustration
If you take everything, move it to one side
Sort by x squared, x and the rest alright
Take the coefficients, name them a, b and c
And if you know the right formula
You will see that you get the solution in
The very next step
Just sing this song in your head:

Negative b plus or minus the square root of
B squared minus 4ac over 2a
Negative b plus or minus the square root of
B squared minus 4ac over 2a

Okay let's start with our equation and
Our job is going to be
Solving this now for x, so let's take minus c
Multiply by 4a and if you now add b squared
It all looks way to complicated


But don't be scared
Just take a close look to the
Left side and you'll see:
There's a binomial formula with 2ax and b
So altogether this is the square of 2ax+b
And now we have only one x
So the next step will be
To get rid of the square and if
The right side is not negative
The square root must be one solution
But there's an alternative
'cause minus the square root yields the
Same if you square it
So we write "plus minus" and now
We are at the point, where it
Only takes two more steps to solve it for x
And if you look to the left side
You know what will be next:
Subtraction of b and division by 2a is giving
Us our formula for x okay and it's

Negative b plus or minus the square root of
B squared minus 4ac over 2a
Negative b plus or minus the square root of
B squared minus 4ac over 2a
Negative b plus or minus the square root of
B squared minus 4ac over 2a
Negative b plus or minus the square root of
B squared minus 4ac over 2a