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Algebra 2 Writing Assignment
When solving a quadratic equation you are looking to get the roots/solutions/zeros or x-intercepts. There are many different methods. Those methods are, graphing using tables, factoring, square root method, completing the square, and quadratic formula. The two that I find the easiest are factoring and completing the square. This is how you would use these two methods.
When using factoring to solve a quadratic equation you must set it to zero before you do anything else. Then you find the products of the constant number that are the sum of the liner equation, also called the middle term. That gives you your “x” so then you plug your “x” into the equation, solve the equation, which gives you your “y”.
Solving a quadratic equation using completing the square is a little different. First you move the constant term to the other side of the equal sign. Second, you take the middle term, co-efficient of x, and divide by two, and square the result. The result of that you will add to both sides, then factor and solve. For example when solving the problem x^2-8x-9=0, first you must move the 9. So the problem will then look like this, x^2-8x=9. Now you must take 8 divide it by two which gives you 4. Now square 4 which gives you 16. Now you must add 16 to both sides and get the equation, x^2-8x+16 =25. Now you must factor which comes out to be (x-4)^2=25. When you take the square root of all of that you end up with, x-4=+/-5. Which then gives you these two equations, x-4=5 and x-4=-5. Once you solve those two equations for x you get the answers of, x=9 and x=-1.
When solving a quadratic equation you are looking to get the roots/solutions/zeros or x-intercepts. There are many different methods. Those methods are, graphing using tables, factoring, square root method, completing the square, and quadratic formula. The two that I find the easiest are factoring and completing the square. This is how you would use these two methods.
When using factoring to solve a quadratic equation you must set it to zero before you do anything else. Then you find the products of the constant number that are the sum of the liner equation, also called the middle term. That gives you your “x” so then you plug your “x” into the equation, solve the equation, which gives you your “y”.
Solving a quadratic equation using completing the square is a little different. First you move the constant term to the other side of the equal sign. Second, you take the middle term, co-efficient of x, and divide by two, and square the result. The result of that you will add to both sides, then factor and solve. For example when solving the problem x^2-8x-9=0, first you must move the 9. So the problem will then look like this, x^2-8x=9. Now you must take 8 divide it by two which gives you 4. Now square 4 which gives you 16. Now you must add 16 to both sides and get the equation, x^2-8x+16 =25. Now you must factor which comes out to be (x-4)^2=25. When you take the square root of all of that you end up with, x-4=+/-5. Which then gives you these two equations, x-4=5 and x-4=-5. Once you solve those two equations for x you get the answers of, x=9 and x=-1.