What is the answer to x+4= 5/(|x-2|) ?

The answer to x+4= 5/(|x-2|) is x=-3,x=1,x=-1+sqrt(14)

Solve for x: x+4= 5/(|x-2|)

The solution is x=-3,x=1,x=-1+sqrt(14)

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x + 4 = \frac{5}{∣ x - 2 ∣}

x = - 3, x = 1, x = - 1 + 14

Decimal Notation

x = - 3, x = 1, x = 2.74165 \dots

Solution steps

x + 4 = \frac{5}{∣ x - 2 ∣}

Multiply both sides by

∣ x - 2 ∣

x ∣ x - 2 ∣ + 4 ∣ x - 2 ∣ = 5

Solve

x ∣ x - 2 ∣ + 4 ∣ x - 2 ∣ = 5 : x = - 3 or x = 1 or x = - 1 + 14

x = - 3, x = 1, x = - 1 + 14

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 3, x = 1, x = - 1 + 14

x, 7 - t = \frac{c}{x}

\frac{3 x - 9}{x - 1} + \frac{x + 6}{x + 1} = 3

x, y = \frac{1}{x ^{2} + 3 x + 2}

\frac{36}{x} - 5 = \frac{17}{2 x}

\frac{2}{x} - \frac{x + 1}{5} = \frac{- 4}{5}

What is the answer to x+4= 5/(|x-2|) ?
The answer to x+4= 5/(|x-2|) is x=-3,x=1,x=-1+sqrt(14)
Solve for x: x+4= 5/(|x-2|)
The solution is x=-3,x=1,x=-1+sqrt(14)