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

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

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

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

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

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

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

x + 5 = 0 : x = - 5

The solutions are

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

(x - 3)^{4} + (x - 5)^{4} = 20

5 y^{3} + 6 y^{2} + 25 y + 30 = 0

x^{3} - 6 x^{2} + 11 x - 6

y, x = y^{4}

10 x^{9} = 7 x

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