Solving Rational Equations and State Extraneous Solution

Which of the following below would be an extraneous solution to the equation?

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CCSS.HSA.REI.A.2

State the domain restrictions.

• x ≠ 3, -2, 6, -1

• x ≠ -1, 6

• x ≠ 3, -2

• No Domain Restrictions

• x ≠ 5

• x ≠ -5

• x ≠ 2

• x ≠ 7

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CCSS.HSA.REI.A.2

• x ≠ 3

• x ≠ -6

• x ≠ 0

• x ≠ 7

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CCSS.HSA.REI.A.2

How do you know when a solution is extraneous?

• When you plug in the solution, there is 0 in a numerator.

• When you plug in the solution, there is 0 in a denominator.

• When the solution is x = 0

• It looks extra. 💁‍♀️

Answer explanation

We are not allowed to divide by 0! So when there's a 0 in the denominator after substituting it in, the solution is extraneous.

Tags

CCSS.HSA.REI.A.2

• x ≠ 4

• x ≠ -2

• x ≠ 2

• x ≠ 2, x ≠ 4

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CCSS.HSA.REI.A.2

Solve.

• x = 5

• x = -3

• x = 3

• x = -5

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CCSS.HSA.REI.A.2

Solve by cross-multiplying.

• x = 2

• No Solution

• x = -10

• x = 10

Tags

CCSS.HSA.REI.A.2

Solve for x.

• 2

• 18/5

• 26/5

• 6

Tags

CCSS.HSA.REI.A.2