# 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:

**Try it yourself:**

x² + x + = 0

Output: