Rational Equations

Identify the LCD.

• x²(x - 2)

• x(x - 2)

• x

• (x - 2)

Solve by using the LCD.

• x = 4/3

• x = 2

• x = 3/4

• x = 2/3

Solve by cross-multiplying.

• x = 2

• No Solution

• x = -10

• x = 10

Solve by cross-multiplying

• x = -1

• x = 1

• x = -9

• x = 9

Solve for x using the LCD

• 6

• 17/5

• 19/2

• - 6

State the domain restrictions. Values of x that makes the denominator zero.

• x ≠ -2

• x ≠ 2, 1

• x ≠ 2, -1

• x ≠ -2, 2, 1

What value(s) make the expression undefined? Values that will make the denominator zero.

• x = - 3 and x = 4

• x = 3 and x = - 4

• x = 3 only

• x = - 4 only

Solve and check for extraneous solutions

• k = 20

• k = -20

• No Solution

• k = 3

Solve the equation for x.

• 6

• 12

• 0

• 3

Solve by cross-multiplying

• x = 6

• x = -6

• x = 6/7

• x = -6/7