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

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

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

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

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

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

Solution steps

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

Factor

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

(x - 1) (x^{2} + 2 x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 1 = 0 : x = 1

Solve

x^{2} + 2 x + 3 = 0 : x = - 1 + 2 i, x = - 1 - 2 i

The solutions are

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

0 = x^{4} - 10 x^{2} + 9

- 3 + c^{3} = 73

\frac{( x ^{5} + 20 )}{( - 3 )} = 4

15 x^{3} - 119 x^{2} - 10 x + 16 = 0

x^{4} + 2 x^{3} - 4 x^{2} - 2 x + 3 = 0

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