What is the answer to (x+5)^{-3}=-1 ?

The answer to (x+5)^{-3}=-1 is x=-6,x=-9/2+i(sqrt(3))/2 ,x=-9/2-i(sqrt(3))/2

Solve for x: (x+5)^{-3}=-1

The solution is x=-6,x=-9/2+i(sqrt(3))/2 ,x=-9/2-i(sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x + 5)^{- 3} = - 1

x = - 6, x = - \frac{9}{2} + i \frac{3}{2}, x = - \frac{9}{2} - i \frac{3}{2}

Solution steps

(x + 5)^{- 3} = - 1

Refine

\frac{1}{( x + 5 ) ^{3}} = - 1

Multiply both sides by

(x + 5)^{3}

1 = - (x + 5)^{3}

Solve

1 = - (x + 5)^{3} : x = - 6, x = - \frac{9}{2} + i \frac{3}{2}, x = - \frac{9}{2} - i \frac{3}{2}

x = - 6, x = - \frac{9}{2} + i \frac{3}{2}, x = - \frac{9}{2} - i \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - 6, x = - \frac{9}{2} + i \frac{3}{2}, x = - \frac{9}{2} - i \frac{3}{2}

\frac{2}{x - 1} = \frac{3}{x + 2}

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

\frac{7}{2 a} - \frac{2}{3 a} = 1

\frac{4}{u + 4} = \frac{8}{2 u + 8} - 3

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

What is the answer to (x+5)^{-3}=-1 ?
The answer to (x+5)^{-3}=-1 is x=-6,x=-9/2+i(sqrt(3))/2 ,x=-9/2-i(sqrt(3))/2
Solve for x: (x+5)^{-3}=-1
The solution is x=-6,x=-9/2+i(sqrt(3))/2 ,x=-9/2-i(sqrt(3))/2