University:
High School
Course:
High School Mathematics
Academic year:

2023
Views:

108

Pages:

3
Author:

meszeztet71

Methods for Solving ·Quadratic Equations Advantages Method Factoring • Straightforward when the equation can be factored easily Graphing • Can easily see the number of solutions • Use when approx.imate solutions are sufficient. • Can use a graphing calculator Using Square Roots Completing the Square l • Used to solve equations of the form x2 = d. \. -\Y 7,-2 5 --12 I b� -f'C\CT{ff i n5 -5 -5 B� i\,e, 7.exo X-7 = o +1 +1 • Can only be used for certain equations X ✓ pyoduGtX+2 =o ···2 rrofU+y ::: o us i n3 S � L,taxG root S 2.. '2x� - 32 S o \ v-e., 7-Y- -•2.. • May not give exact solutions • May involve difficult calculations • Best used when a = 1 and b is even EXAMPLES: <;o\\Je... • Some equations are not factorable. • Can be used for any quadratic equati.on • Takes time to do calculations • Gives exact solutions Quadratic Formula Co·,\ Disadvantages z_ - 32 -= 0 -t- 32 2x 2. 2-- :X J.- Jx2 = -t32 32. L =llo ==[,C, ) X - � 41