What are the solutions to the equation x^4+2x^3-13x^2-14x+24=0 ?

The solutions to the equation x^4+2x^3-13x^2-14x+24=0 are x=1,x=-2,x=3,x=-4

Find the zeros of x^4+2x^3-13x^2-14x+24=0

The zeros of x^4+2x^3-13x^2-14x+24=0 are x=1,x=-2,x=3,x=-4

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x^{4} + 2 x^{3} - 13 x^{2} - 14 x + 24 = 0

x = 1, x = - 2, x = 3, x = - 4

Solution steps

x^{4} + 2 x^{3} - 13 x^{2} - 14 x + 24 = 0

Factor

x^{4} + 2 x^{3} - 13 x^{2} - 14 x + 24 : (x - 1) (x + 2) (x - 3) (x + 4)

(x - 1) (x + 2) (x - 3) (x + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x + 2 = 0 or x - 3 = 0 or x + 4 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 : x = - 2

Solve

x - 3 = 0 : x = 3

Solve

x + 4 = 0 : x = - 4

The solutions are

x = 1, x = - 2, x = 3, x = - 4

x, x^{4} - 1 = 0

z^{4} = 1 - i

5 x^{3} + x = 0

x^{3} - 10 x^{2} + 27 x - 18 = 0

x^{4} - 6 x^{3} + 13 x^{2} - 12 x = 0

What are the solutions to the equation x^4+2x^3-13x^2-14x+24=0 ?
The solutions to the equation x^4+2x^3-13x^2-14x+24=0 are x=1,x=-2,x=3,x=-4
Find the zeros of x^4+2x^3-13x^2-14x+24=0
The zeros of x^4+2x^3-13x^2-14x+24=0 are x=1,x=-2,x=3,x=-4