What are the solutions to the equation y^4=y^5 ?

The solutions to the equation y^4=y^5 are y=0,y=1

Find the zeros of y^4=y^5

The zeros of y^4=y^5 are y=0,y=1

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y^{4} = y^{5}

y = 0, y = 1

Solution steps

y^{4} = y^{5}

Switch sides

y^{5} = y^{4}

Move

y^{4}

to the left side

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 - 1)^{3} = 16777216

(x - 1) (x^{3} - x - 1) = 241 - x^{3}

18 x^{3} = 8 x

(3 + 2 p) (2 p - 3) (p + 1) = 0

- 4 x^{4} - 16 x^{2} = 0

What are the solutions to the equation y^4=y^5 ?
The solutions to the equation y^4=y^5 are y=0,y=1
Find the zeros of y^4=y^5
The zeros of y^4=y^5 are y=0,y=1