What is the answer to (-1)/a =a(a) ?

The answer to (-1)/a =a(a) is a=-1,a= 1/2-(sqrt(3))/2 i,a= 1/2+(sqrt(3))/2 i

Solve for a: (-1)/a =a(a)

The solution is a=-1,a= 1/2-(sqrt(3))/2 i,a= 1/2+(sqrt(3))/2 i

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\frac{- 1}{a} = a (a)

a = - 1, a = \frac{1}{2} - \frac{3}{2} i, a = \frac{1}{2} + \frac{3}{2} i

Solution steps

\frac{- 1}{a} = a (a)

Simplify

\frac{- 1}{a} : - \frac{1}{a}

- \frac{1}{a} = a (a)

Multiply both sides by

a

- 1 = a^{3}

Solve

- 1 = a^{3} : a = - 1, a = \frac{1}{2} - \frac{3}{2} i, a = \frac{1}{2} + \frac{3}{2} i

a = - 1, a = \frac{1}{2} - \frac{3}{2} i, a = \frac{1}{2} + \frac{3}{2} i

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = - 1, a = \frac{1}{2} - \frac{3}{2} i, a = \frac{1}{2} + \frac{3}{2} i

\frac{5}{7 x} - \frac{2}{3 x} = 1

\frac{7}{x - 2} = \frac{8}{3}

\frac{12 d s}{w} = C d, w

x, \frac{x - y}{x} = x + 1

\frac{x}{x - 9} + 4 = \frac{x}{x - 9}

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