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will calculate the solutions of any
A quadratic equation is an equation that can be written as
where a ≠ 0
In other words, a
a squared term as its highest power.
when you set the equation equal to
or when you solve the following general equation:
Given a quadratic equation:
The quadratic formula below will solve the equation for zero
The quadratic formula is :
Using the quadratic formula to solve this equation just substitute
into the general formula:
here is the graph of
and its solution:
so, as you can see, this quadratic function has only one solution (the parabola is touching x-axis at -1)