What are the solutions to the equation x^3+x^2+x^1+1=0 ?

The solutions to the equation x^3+x^2+x^1+1=0 are x=-1,x=i,x=-i

Find the zeros of x^3+x^2+x^1+1=0

The zeros of x^3+x^2+x^1+1=0 are x=-1,x=i,x=-i

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x^{3} + x^{2} + x^{1} + 1 = 0

x = - 1, x = i, x = - i

Solution steps

x^{3} + x^{2} + x^{1} + 1 = 0

Refine

x^{3} + x^{2} + x + 1 = 0

Factor

x^{3} + x^{2} + x + 1 : (x + 1) (x^{2} + 1)

(x + 1) (x^{2} + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x^{2} + 1 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x^{2} + 1 = 0 : x = i, x = - i

The solutions are

x = - 1, x = i, x = - i

8 x^{4} - 2 x^{2} = 0

25 = 4 t^{3} + 6 t + 2.5

x^{3} - 3 a + 2 = 0

4 x^{3} - \frac{4 x}{9} = 0

q^{4} - 2 = 1

What are the solutions to the equation x^3+x^2+x^1+1=0 ?
The solutions to the equation x^3+x^2+x^1+1=0 are x=-1,x=i,x=-i
Find the zeros of x^3+x^2+x^1+1=0
The zeros of x^3+x^2+x^1+1=0 are x=-1,x=i,x=-i