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

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

Find the zeros of x^4=x^5

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

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x^{4} = x^{5}

x = 0, x = 1

Solution steps

x^{4} = x^{5}

Switch sides

x^{5} = x^{4}

Move

x^{4}

to the left side

x^{5} - x^{4} = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0

Solve

x - 1 = 0 : x = 1

The solutions are

x = 0, x = 1

(2 x + 1)^{3} = 900

11 x^{10} - 60 x^{9} = 0

- x^{3} + 0.8 x^{2} + 0.260625 x - 0.08775 = 0

4 x^{3} - 120 x^{2} + 864 x - 1820 = 0

x^{3} + 5 x^{2} - 8 x - 12 = 0

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