What are the solutions to the equation x^6+4x^5-5x^4=0 ?

The solutions to the equation x^6+4x^5-5x^4=0 are x=0,x=1,x=-5

Find the zeros of x^6+4x^5-5x^4=0

The zeros of x^6+4x^5-5x^4=0 are x=0,x=1,x=-5

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x^{6} + 4 x^{5} - 5 x^{4} = 0

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

Solution steps

x^{6} + 4 x^{5} - 5 x^{4} = 0

Factor

x^{6} + 4 x^{5} - 5 x^{4} : x^{4} (x - 1) (x + 5)

x^{4} (x - 1) (x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x + 5 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 5 = 0 : x = - 5

The solutions are

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

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

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

x^{3} - 4 x^{2} - 17 x + 60 = 0

(x^{2} + 1) (x^{2} + 4) = 0

n^{3} - 2 n^{2} + 15 n - 500 = 0

What are the solutions to the equation x^6+4x^5-5x^4=0 ?
The solutions to the equation x^6+4x^5-5x^4=0 are x=0,x=1,x=-5
Find the zeros of x^6+4x^5-5x^4=0
The zeros of x^6+4x^5-5x^4=0 are x=0,x=1,x=-5