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QUADRATIC EQUATIONS A quadratic equation is always written in the form of   ax2   bx   c   0  where a     0  The form ax2 ...
Solving Quadratic Equations by Factoring It can also be solved by factoring the equation. Remember to always check your so...
Based on the original equation    c    4        2 a 2  2 8 0     Rewrite in standard form by multiplying each side of the ...
Solution Using the Quadratic Formula Factoring is useful only for those quadratic equations which have whole numbers. When...
II. When the discriminant is positive and a perfect square, the equation has two distinct rational solutions. Example   x2...
Solution by Completing the Square One more method of solving quadratic equations is by completing the square. Example   So...
7  Check your solution. x      1  x      5  0 x2   6x   5         1   2  0 x2   6x   5    0   6      1    5        Both so...
equation.  x     1 21      4 4      Try to solve it using the square root. If not possible  leave it in radical form.  21 ...
QUADRATIC EQUATIONS     EXERCISES Solve each of the following equations by the method of your choice and check your soluti...
QUADRATIC EQUATIONS     ANSWER TO EXERCISES 1. x 2     2 x   1   0   x     1   x     1    0  x    1   0 x  1  2. x 2   9 x...
12. x 2     2 x     8   0   x     4   x   2    0  11. y 2   2 y   1   0   y   1  2   0 y  1  0  x   4   0 x 4  y      1,  ...
19. x      4 21   x 5  20. 3    6 x 2   5x   2 6 x 2   5x     2   0    5    25     4   6      2   x  12  5 x 2     20   21...