What is the answer to a(x)=-(x^3)/(x+1) ?

The answer to a(x)=-(x^3)/(x+1) is x=0,x=(-a+sqrt(a^2-4a))/2 ,x=(-a-sqrt(a^2-4a))/2

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a(x)=-(x^3)/(x+1)

a (x) = - \frac{x ^{3}}{x + 1}

x = 0, x = \frac{- a + a ^{2} - 4 a}{2}, x = \frac{- a - a ^{2} - 4 a}{2}

Solution steps

a (x) = - \frac{x ^{3}}{x + 1}

Multiply both sides by

x + 1

a x (x + 1) = - x^{3}

Solve

a x (x + 1) = - x^{3} : x = 0, x = \frac{- a + a ^{2} - 4 a}{2}, x = \frac{- a - a ^{2} - 4 a}{2}

x = 0, x = \frac{- a + a ^{2} - 4 a}{2}, x = \frac{- a - a ^{2} - 4 a}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 0, x = \frac{- a + a ^{2} - 4 a}{2}, x = \frac{- a - a ^{2} - 4 a}{2}

\frac{p ^{2} - 4 p}{p} = 0

x, \frac{f - 7}{x - 3} = 3

(\frac{94}{y}) - 8.4 = 15.1

\frac{x}{x + 10000} = 0.19

\frac{55 x}{1 - x} = 0

What is the answer to a(x)=-(x^3)/(x+1) ?
The answer to a(x)=-(x^3)/(x+1) is x=0,x=(-a+sqrt(a^2-4a))/2 ,x=(-a-sqrt(a^2-4a))/2