Easy Algebra Step-by-Step

166 Easy Algebra Step-by-Step

b. xx^2 +=x 6

Step 1. Put the equation in standard form.

xx^2 +−x 60

Step 2. Factor.

())))))(()(((( = 0

Step 3. Use the zero factor property to separate the factors.

Thus, x− 20 = or x+ 30 =.

Step 4. Solve the resulting linear equations.

The solution is x= 2 or x=− 3.

c. xx^244 xx

Step 1. Put the equation in standard form.

xx^2444 xx = 0

Step 2. Factor.

()))))(()((( = 0

()))^2 = 0

Step 3. Write the quick solution.

()))^2 = 0

x− 20 =± = 0

The solution is x= 2.

Solving Quadratic Equations by Completing the Square

You also can use the technique of completing the square to solve quadratic

equations. This technique starts off differently in that you do not begin by

putting the equation in standard form.

Problem Solve xx^226 xx by completing the square.