What are the solutions to the equation y^7-2y^5+y^3=0 ?

The solutions to the equation y^7-2y^5+y^3=0 are y=0,y=-1,y=1

Find the zeros of y^7-2y^5+y^3=0

The zeros of y^7-2y^5+y^3=0 are y=0,y=-1,y=1

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y^{7} - 2 y^{5} + y^{3} = 0

y = 0, y = - 1, y = 1

Solution steps

y^{7} - 2 y^{5} + y^{3} = 0

Factor

y^{7} - 2 y^{5} + y^{3} : y^{3} (y + 1)^{2} (y - 1)^{2}

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or y + 1 = 0 or y - 1 = 0

Solve

y + 1 = 0 : y = - 1

Solve

y - 1 = 0 : y = 1

The solutions are

y = 0, y = - 1, y = 1

a^{3} + a^{2} = 80

x^{3} - 2 x^{2} - 9 x + 18

(2 x - 2)^{2} (x - 2) = (2 x - 2) (x - 2)^{2}

x^{5} + 8 x^{3} = 0

0.001 x^{3} - 2 x + 30 = 0

What are the solutions to the equation y^7-2y^5+y^3=0 ?
The solutions to the equation y^7-2y^5+y^3=0 are y=0,y=-1,y=1
Find the zeros of y^7-2y^5+y^3=0
The zeros of y^7-2y^5+y^3=0 are y=0,y=-1,y=1