What are the solutions to the equation x^5-7x^4+14x^3-2x^2-15x+9=0 ?

The solutions to the equation x^5-7x^4+14x^3-2x^2-15x+9=0 are x=-1,x=1,x=3

Find the zeros of x^5-7x^4+14x^3-2x^2-15x+9=0

The zeros of x^5-7x^4+14x^3-2x^2-15x+9=0 are x=-1,x=1,x=3

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x^{5} - 7 x^{4} + 14 x^{3} - 2 x^{2} - 15 x + 9 = 0

x = - 1, x = 1, x = 3

Solution steps

x^{5} - 7 x^{4} + 14 x^{3} - 2 x^{2} - 15 x + 9 = 0

Factor

x^{5} - 7 x^{4} + 14 x^{3} - 2 x^{2} - 15 x + 9 : (x + 1) (x - 1)^{2} (x - 3)^{2}

(x + 1) (x - 1)^{2} (x - 3)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 1 = 0 or x - 3 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

x - 3 = 0 : x = 3

The solutions are

x = - 1, x = 1, x = 3

x^{4} - 4 x^{3} - x^{2} + 14 x + 10

x^{4} + x^{2} + 1

X^{3} + 6 X^{2} = 4 X^{3} + 4 X^{2} - 5 X

x^{3} - 2 x^{2} - 11 x - 12 = 0

z^{6} - (3 + 2 i) z^{3} + 2 + 2 i = 0

What are the solutions to the equation x^5-7x^4+14x^3-2x^2-15x+9=0 ?
The solutions to the equation x^5-7x^4+14x^3-2x^2-15x+9=0 are x=-1,x=1,x=3
Find the zeros of x^5-7x^4+14x^3-2x^2-15x+9=0
The zeros of x^5-7x^4+14x^3-2x^2-15x+9=0 are x=-1,x=1,x=3