Easy Algebra Step-by-Step

Solving Quadratic Equations 169

=

− 24 ±

4

() 11

=

−

=

22 ± 11

4

2

4

()− 1 ± 11

=

− 11 ± 1

2

Step 2. State the solution.

The solution is x=

− 11 + 1

2

or x=

− 11 − 1

2

.

c. xx^2696 xx = 0

Step 1. Identify the coeffi cients a, b, and c and then use the quadratic

formula.

ab,,bbbbb=−^666 ,,andcc=^9

x

bbac

a

=

−b −

=

(^24) − (^2) −
2

± 4

2

()− 6 ()− 6 () 1 () 9

() 1

=

63 ± 63 − 6

2

= ==

60 ±

2

6

2

3

Step 2. State the solution.

The solution is x= 3.

Exercise 15

1. Solve xx^2 x− 60 by factoring.


2. Solve xx^2 + 656 xx by completing the square.


3. Solve 3 xx^2515 xx = 0 by using the quadratic formula.