Unit 3 Summary Assignment – Pre Calc 11 – Adam Merbah
For the Unit 3 summary assignment, we were assigned the task of demonstrating a mathematical concept presented to us throughout the past week. For this assignment, I chose to demonstrate how to solve quadratics with radicals (3.3)
Solving Quadtratics with Radicals
Let’s say you have a quadratic equation that is unsimplified. The first thing you would usually want to do is to turn it into Ax2 =-+ bx + = 0 ( general form). But what if you have a Radical expression mixed into the equation? leaving the radical sign intact would not work with quadratics, so the first step is to square everything under the radical sign to get rid of the radical sign. In return, we would have to square everything on the other side of the equation as well. After that, your values should be ready to simplify and to be turned into Ax2 + Bx + C = 0 form. With the Ax2 + Bx + c Form, you can then go ahead and factor and solve your equation to find your x values.
Important Note: When dealing with radicals, ALWAYS check both your solutions as one of them could not work!
Ex 1 :
When dealing with coefficients, leave them as they are and make sure to use them while factoring.
Ex 2 :
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