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

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

Find the zeros of x^5=x^4

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

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x^{5} = x^{4}

x = 0, x = 1

Solution steps

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

x^{3} + 3 x^{2} - 4 x - 12 = 0

D, 2 b - hb = D^{3}

5 x^{4} - 9 x^{2} + 4

x^{3} - 5 x^{2} - 36 x = 0

x^{3} - 5 x^{2} + 6 x - 30 = 0

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