What are the solutions to the equation x^5-10x^3-20x^2-15x-4=0 ?

The solutions to the equation x^5-10x^3-20x^2-15x-4=0 are x=-1,x=4

Find the zeros of x^5-10x^3-20x^2-15x-4=0

The zeros of x^5-10x^3-20x^2-15x-4=0 are x=-1,x=4

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x^{5} - 10 x^{3} - 20 x^{2} - 15 x - 4 = 0

x = - 1, x = 4

Solution steps

x^{5} - 10 x^{3} - 20 x^{2} - 15 x - 4 = 0

Factor

x^{5} - 10 x^{3} - 20 x^{2} - 15 x - 4 : (x + 1)^{4} (x - 4)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 4 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 4 = 0 : x = 4

The solutions are

x = - 1, x = 4

x^{6} - 4 x^{3} + 4 = 0

x^{4} + 11 x^{2} = 3 x^{2} + 128

y^{4} - 7 y^{2} = - 10

5 x^{3} + 10 x^{2} + 5 x = 0

x^{3} + 10 = 0

What are the solutions to the equation x^5-10x^3-20x^2-15x-4=0 ?
The solutions to the equation x^5-10x^3-20x^2-15x-4=0 are x=-1,x=4
Find the zeros of x^5-10x^3-20x^2-15x-4=0
The zeros of x^5-10x^3-20x^2-15x-4=0 are x=-1,x=4