Rational Equations with Extraneous Solutions

Solve for r

• 5

• - 5, 4

• - 5

• 5, 4

• 2

• 1

• -2

• 0

Solve for x.

• 2

• 18/5

• 26/5

• 6

Using the equation below, which solution(s) are extraneous?

• x=3 is the only extraneous solution

• Neither x=-4 nor x=3 are extraneous solutions

• x=-4 and x=3 are both extraneous solutions

• x=4 is the only extraneous solution

• x=7 and x=2

• No solution (x=7 and x=2 are both extraneous)

• x=2 (x=-7 is extraneous)

• x=7 (x=-2 is extraneous)

x =

If there are multiple solutions, separate with a comma. If the solution is extraneous, say "ex"

x =

If there are multiple solutions, separate with a comma. If the solution is extraneous, say "ex"

Answer explanation

When we plug -1 back into the original equation, the denominator on one or more of the rational expressions is zero. Thus it is an extraneous solution.

x =

If there are multiple solutions, separate with a comma. If the solution is extraneous, say "ex"

Answer explanation

When we plug -1 back into the original equation, the denominator on one or more of the rational expressions is zero. Thus it is an extraneous solution.

x =

If there are multiple solutions, separate with a comma. If the solution is extraneous, say "ex"

Answer explanation

When we plug 6 back into the original equation, the denominator on one or more of the rational expressions is zero. Thus it is an extraneous solution.

x =

If there are multiple solutions, separate with a comma. If the solution is extraneous, say "ex"

Answer explanation

When we plug 4 back into the original equation, the denominator on one or more of the rational expressions is zero. Thus it is an extraneous solution.