What are the solutions to the equation y^{(5)}-y^{(4)}=0 ?

The solutions to the equation y^{(5)}-y^{(4)}=0 are y=0,y=1

Find the zeros of y^{(5)}-y^{(4)}=0

The zeros of y^{(5)}-y^{(4)}=0 are y=0,y=1

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y^{(5)} - y^{(4)} = 0

y = 0, y = 1

Solution steps

y^{(5)} - y^{(4)} = 0

Factor

y^{5} - y^{4} : y^{4} (y - 1)

y^{4} (y - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or y - 1 = 0

Solve

y - 1 = 0 : y = 1

The solutions are

y = 0, y = 1

x^{3} + \frac{1}{2} x^{2} + x - 3 = 0

x x^{3} + 144 x^{2} = 4096

(x^{2} + 3) (x - 8) = 0

2 x^{3} + 3 x^{2} + 23 x - 12 = 0

4 (x^{4} + 1) = 5 x^{2}, x > 0

What are the solutions to the equation y^{(5)}-y^{(4)}=0 ?
The solutions to the equation y^{(5)}-y^{(4)}=0 are y=0,y=1
Find the zeros of y^{(5)}-y^{(4)}=0
The zeros of y^{(5)}-y^{(4)}=0 are y=0,y=1