on week seven of precalc we learned how to do quadratic equations with the quadratic formula. The quadratic formula is probably supposed to be the last bastion after trying everything else when it comes to solving equations. It’s like the last thing you’d want to use, while reliable, it takes a minute to set up. It was made to always work and is a lot easier with a calculator as you just plug numbers in. The formula only works problems with the formula Ax²+Bx+C=0 and looks like this

We also watched a song to the tune of pop goes the weasel and that makes it easy remember.

Now, to use the quadratic formula, you need to know where everything is supposed to be. A will replace the x², B is the coefficient to the ‘x’ and C is the remaining constant.

Let’s consider a quadratic equation:

Here, A=2x, B$4$, and C$6$. Using the quadratic formula, we substitute these values:

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So, the solutions to the quadratic equation 2x²+4x−6=0 are x1=1 and $-3$.