This week in pre-calc, we had our math midterm. When I was reviewing over the units, I noticed I forgot how to solve a quadratic equation by factoring. There was a question on the midterm about this exact question and I had no idea how to solve it.
When factoring a quadratic equation to solve, you need to get all your values on the same side and have one side being equal to 0. This is the how you can start to factor your quadratic equation.
When you have the equation :
√2x² + 1x +1 = 2x
The first step you need to do in order to be able to move the ‘2x’ value over is to square both sides to get rid of that square root sign in front of the ‘2x²’.After squaring, your equation would be :
2x² + 1x + 1 = 4x²
Then you can move your ‘4x²’ over to the right side making the equation :
-2x² + 1 + 1 = 0
From here, you cannot factor a negative first term so you need to take out a negative from all the terms :
– (2x² -1 -1) = 0
From here you can factor out your quadratic equation and find your solutions for ‘x’.