What are the solutions to the equation x^4-2x^3+10x^2-20x=0 ?

The solutions to the equation x^4-2x^3+10x^2-20x=0 are x=0,x=2,x=sqrt(10)i,x=-sqrt(10)i

Find the zeros of x^4-2x^3+10x^2-20x=0

The zeros of x^4-2x^3+10x^2-20x=0 are x=0,x=2,x=sqrt(10)i,x=-sqrt(10)i

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x^{4} - 2 x^{3} + 10 x^{2} - 20 x = 0

x = 0, x = 2, x = 10 i, x = - 10 i

Solution steps

x^{4} - 2 x^{3} + 10 x^{2} - 20 x = 0

Factor

x^{4} - 2 x^{3} + 10 x^{2} - 20 x : x (x - 2) (x^{2} + 10)

x (x - 2) (x^{2} + 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0 or x^{2} + 10 = 0

Solve

x - 2 = 0 : x = 2

Solve

x^{2} + 10 = 0 : x = 10 i, x = - 10 i

The solutions are

x = 0, x = 2, x = 10 i, x = - 10 i

(2 + h)^{3} - 9 (2) h = 0.1

D^{4} + 2 D^{3} - 11 D^{2} - 12 D = 0

x, x^{3} - y^{5} = 0

4 (5 x^{9}) = 5

x^{6} + 6 x^{4} + 9 x^{2} + 4 = 0

What are the solutions to the equation x^4-2x^3+10x^2-20x=0 ?
The solutions to the equation x^4-2x^3+10x^2-20x=0 are x=0,x=2,x=sqrt(10)i,x=-sqrt(10)i
Find the zeros of x^4-2x^3+10x^2-20x=0
The zeros of x^4-2x^3+10x^2-20x=0 are x=0,x=2,x=sqrt(10)i,x=-sqrt(10)i