What are the solutions to the equation x^4-13x^2-12x=0 ?

The solutions to the equation x^4-13x^2-12x=0 are x=0,x=-1,x=-3,x=4

Find the zeros of x^4-13x^2-12x=0

The zeros of x^4-13x^2-12x=0 are x=0,x=-1,x=-3,x=4

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x^{4} - 13 x^{2} - 12 x = 0

x = 0, x = - 1, x = - 3, x = 4

Solution steps

x^{4} - 13 x^{2} - 12 x = 0

Factor

x^{4} - 13 x^{2} - 12 x : x (x + 1) (x + 3) (x - 4)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

x + 3 = 0 : x = - 3

Solve

x - 4 = 0 : x = 4

The solutions are

x = 0, x = - 1, x = - 3, x = 4

x^{4} - 200 x^{3} - 100 x^{2} = 0

x^{4} + 24 x^{3} + 122 x^{2} - 52 x + 25 = 0

y^{7} - 2 y^{5} + y^{3} = 0

a^{3} + a^{2} = 80

x^{3} - 2 x^{2} - 9 x + 18

What are the solutions to the equation x^4-13x^2-12x=0 ?
The solutions to the equation x^4-13x^2-12x=0 are x=0,x=-1,x=-3,x=4
Find the zeros of x^4-13x^2-12x=0
The zeros of x^4-13x^2-12x=0 are x=0,x=-1,x=-3,x=4