Solving Quadratic Equations!

Factoring 1x x + 45 = 0 Factor the trinomial Solve for the factors for x Factors solved for X are the solutions (x-5)(x-9)=0 X= {5,9) Factoring doesn’t always work because not all equations can be factored!!

Graphing y = 3x 2 + x – 2 X=(-1, 2/3) Graph the quadratic equation The x intercepts will be your solutions Graphing is easy, but cannot be used to find imaginary solutions, and solutions that are not whole numbers can be unclear.

Quadratic Formula Find the discriminate, by plugging in everything under the radical sign: if it is positive than the equation has two real roots, if it is negative then there will be two irrational roots, and if it is 0 then there will be one root. Plug in the rest of the equation, and simplify The solution is 5.

Square Root Add the term to the other part of the equation, so the squared part is by itself. Square Root both sides Remember to simplify the Square Root

Completing the square Move the constant term to the other side Divide by “a” Take half of the Linear term and square it, add that number to both sides of the equation Square root both sides (don’t forget the plus of minus sign) Solve for x

Bibliography Equations found from