What are the solutions to the equation x^3-x^2-5x+21=0 ?

The solutions to the equation x^3-x^2-5x+21=0 are x=-3,x=2+sqrt(3)i,x=2-sqrt(3)i

Find the zeros of x^3-x^2-5x+21=0

The zeros of x^3-x^2-5x+21=0 are x=-3,x=2+sqrt(3)i,x=2-sqrt(3)i

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x^{3} - x^{2} - 5 x + 21 = 0

x = - 3, x = 2 + 3 i, x = 2 - 3 i

Solution steps

x^{3} - x^{2} - 5 x + 21 = 0

Factor

x^{3} - x^{2} - 5 x + 21 : (x + 3) (x^{2} - 4 x + 7)

(x + 3) (x^{2} - 4 x + 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 3 = 0 or x^{2} - 4 x + 7 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x^{2} - 4 x + 7 = 0 : x = 2 + 3 i, x = 2 - 3 i

The solutions are

x = - 3, x = 2 + 3 i, x = 2 - 3 i

x^{3} + 3 x^{2} - 6 x = 0

x (6 - 2 x)^{2} = 0

y, x = 1 - ((1 - y)^{12})

(x^{2} + 6 x) (x + 3)^{2} = 400

x^{4} - 14 x^{2} + 48 = 0

What are the solutions to the equation x^3-x^2-5x+21=0 ?
The solutions to the equation x^3-x^2-5x+21=0 are x=-3,x=2+sqrt(3)i,x=2-sqrt(3)i
Find the zeros of x^3-x^2-5x+21=0
The zeros of x^3-x^2-5x+21=0 are x=-3,x=2+sqrt(3)i,x=2-sqrt(3)i