What are the solutions to the equation x^5+4x^3=5x ?

The solutions to the equation x^5+4x^3=5x are x=0,x=-1,x=1,x=sqrt(5)i,x=-sqrt(5)i

Find the zeros of x^5+4x^3=5x

The zeros of x^5+4x^3=5x are x=0,x=-1,x=1,x=sqrt(5)i,x=-sqrt(5)i

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x^{5} + 4 x^{3} = 5 x

x = 0, x = - 1, x = 1, x = 5 i, x = - 5 i

Solution steps

x^{5} + 4 x^{3} = 5 x

Move

5 x

to the left side

x^{5} + 4 x^{3} - 5 x = 0

Factor

x^{5} + 4 x^{3} - 5 x : x (x + 1) (x - 1) (x^{2} + 5)

x (x + 1) (x - 1) (x^{2} + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x - 1 = 0 or x^{2} + 5 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

x^{2} + 5 = 0 : x = 5 i, x = - 5 i

The solutions are

x = 0, x = - 1, x = 1, x = 5 i, x = - 5 i

x, (2 x^{4} \cdot y^{4} - 4 x^{2} \cdot y) = (2 x^{2} \cdot y)

(1 + r)^{6} = 8000

x^{4} (x - 1) + x^{3} (x - 1) = 0

x^{3} - 4 x^{2} + 5 x - 2 = 0

x^{33} x^{2} x^{3} = 0

What are the solutions to the equation x^5+4x^3=5x ?
The solutions to the equation x^5+4x^3=5x are x=0,x=-1,x=1,x=sqrt(5)i,x=-sqrt(5)i
Find the zeros of x^5+4x^3=5x
The zeros of x^5+4x^3=5x are x=0,x=-1,x=1,x=sqrt(5)i,x=-sqrt(5)i