Quadratic equation
A quadratic equation is any equation in the following form:
ax²+bx+c=0
It can be solved easily with the following formula:
Proof (Multiply by 4a)
(add b²-b²)
(
)
If b is even then you can simplify it even further:
b=2b’
Proof
If you only need to know the sum/product of a quadratic equation:
If you were only given the sum and product you can use the following equation to convert to a quadratic equation:
Which gives the following solution:
To determine the maximum/minimum value of a quadratic equation:
x² + x + = 0
Output: