What is the answer to (x-x^3)/(x-4)=3 ?

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

Solve for x: (x-x^3)/(x-4)=3

The solution is x=2,x=-1+sqrt(5)i,x=-1-sqrt(5)i

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\frac{x - x ^{3}}{x - 4} = 3

x = 2, x = - 1 + 5 i, x = - 1 - 5 i

Solution steps

\frac{x - x ^{3}}{x - 4} = 3

Multiply both sides by

x - 4

x - x^{3} = 3 (x - 4)

Solve

x - x^{3} = 3 (x - 4) : x = 2, x = - 1 + 5 i, x = - 1 - 5 i

x = 2, x = - 1 + 5 i, x = - 1 - 5 i

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 2, x = - 1 + 5 i, x = - 1 - 5 i

x, f = f (x)^{- 1}

x - 7 = \frac{8}{x}

\frac{42}{a} = 72

a, \frac{5}{a + b} = 3

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

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