What are the solutions to the equation x^3+x+1=11 ?

The solutions to the equation x^3+x+1=11 are x=2,x=-1+2i,x=-1-2i

Find the zeros of x^3+x+1=11

The zeros of x^3+x+1=11 are x=2,x=-1+2i,x=-1-2i

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x^{3} + x + 1 = 11

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

Solution steps

x^{3} + x + 1 = 11

Move

11

to the left side

x^{3} + x - 10 = 0

Factor

x^{3} + x - 10 : (x - 2) (x^{2} + 2 x + 5)

(x - 2) (x^{2} + 2 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or x^{2} + 2 x + 5 = 0

Solve

x - 2 = 0 : x = 2

Solve

x^{2} + 2 x + 5 = 0 : x = - 1 + 2 i, x = - 1 - 2 i

The solutions are

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

4 x (1 - x^{8}) = 0

(1 + r)^{5} = 8

x^{3} - x^{2} = 4 x^{2} - 8 x + 4

m^{4} - 1 = 0

x - 4 = - 2 x^{3}

What are the solutions to the equation x^3+x+1=11 ?
The solutions to the equation x^3+x+1=11 are x=2,x=-1+2i,x=-1-2i
Find the zeros of x^3+x+1=11
The zeros of x^3+x+1=11 are x=2,x=-1+2i,x=-1-2i