What is the answer to 0=(-x^2+6x-8)/(x^3|x-2|) ?

The answer to 0=(-x^2+6x-8)/(x^3|x-2|) is x=4

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0=(-x^2+6x-8)/(x^3|x-2|)

0 = \frac{- x ^{2} + 6 x - 8}{x ^{3} ∣ x - 2 ∣}

x = 4

Solution steps

0 = \frac{- x ^{2} + 6 x - 8}{x ^{3} ∣ x - 2 ∣}

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

0 = - x^{2} + 6 x - 8

Solve

0 = - x^{2} + 6 x - 8 : x = 2, x = 4

x = 2, x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 2

Since the equation is undefined for:

2

x = 4

6 x^{2} - 5 x + 3 = 0

\frac{( 5 x ^{4} y ^{3} )}{8 x ^{5}} \cdot \frac{( 3 x ^{3} y ^{5} )}{6 y ^{4}}

3 (x - 2) > 15

\frac{3 x - 5}{2} = 6

(24 c)^{\frac{2}{3}}

What is the answer to 0=(-x^2+6x-8)/(x^3|x-2|) ?
The answer to 0=(-x^2+6x-8)/(x^3|x-2|) is x=4
Solve for x: 0=(-x^2+6x-8)/(x^3|x-2|)
The solution is x=4