MTH-100 Lecture Notes - Lecture 9: Quadratic Equation, Quadratic Formula, Square Root
Document Summary
Standard form: ax2 +bx + c = 0 where a 0. For an easily factorable expression, the zero-product rule is a very efficient method to solve a quadratic equation. (this method only works for factorable expressions: write in standard form, factor, solve the individual factors set to 0. 20 20 ( 4) 20: solve: x x+ If an equation is in the form ( )2 = # you can apply the square root property: write the equation in ( )2 = # form, take the square root of both sides, solve for x. { 5 , 5 } i i x. 2 2 5, 2 2 5: solve: x + Complete the square (works for any quadratic, but can get messy) When a quadratic is not in ( )2 = # form it can be put into that form by completing the square . What number could be added to make x x+
