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

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

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

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

x = 4

Solution steps

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

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

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

Solve

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

2 (x + 4)^{2} = 6

\frac{3}{2} s = 2

x^{4} - 34 x^{2} - 72 < 0

324

3 n - 4 (n - 2) < 3 n - 12

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