100%(1)1 out of 1 people found this document helpful
This preview shows page 1 - 2 out of 5 pages.
Quadratic equations can be solved in 3 different ways.1.Factoring Method. (Remember that not every math problem can be factored, thus the quadratic formula or complete the square methods should be used instead.)Set the equation to equal 0: ax2+bx+c=0All like terms should be combined to one side in the equation and x2 should be kept positive.The following example is from udemy.com2x2-8x-4=3x-x2Here we have to solve for x, but first as I said before, all the like terms should be grouped together and the squared term should be kept positive.2x2+x2-8x-3x-4=0If possible, the terms should be grouped together even more by adding the like terms, for example 2x2+x2=3x2, -8x-3x=-11x, the completed equation should look like this:3x2-11x-4=0The next step is to factor(3x+1)(x-4)=0The next step is to find a combination that results in -11xWhen multiplying the equation above we get 3x2-12x+x-4, by further simplification we get -11x.Next step solving.3x+1=0; -1=0-1; 3x=-1; 3x/3=-1/3x-4=0; -4=0-4; x=-4; x=-1/3x equals -1/3 and -4.2.Quadratic Method or Formula.A quadratic equation looks like this in standard form: x2 – 4x – 7 = 0. Quad means squared, so we know that the quadratic equation must have a squared term, or it isn’t quadratic. The other numbers and