What are the solutions to the equation x^4=x^3 ?

The solutions to the equation x^4=x^3 are x=0,x=1

Find the zeros of x^4=x^3

The zeros of x^4=x^3 are x=0,x=1

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x^{4} = x^{3}

x = 0, x = 1

Solution steps

x^{4} = x^{3}

Move

x^{3}

to the left side

x^{4} - x^{3} = 0

Factor

x^{4} - x^{3} : x^{3} (x - 1)

x^{3} (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

3 x^{3} + 4 x^{2} = 12 x + 16

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

r^{3} + 2 r^{2} - 5 r - 6 = 0

2 x^{4} - x^{3} + x^{2} - x - 1

4 x^{3} + 16 x^{2} + 16 x + 12 = 0

What are the solutions to the equation x^4=x^3 ?
The solutions to the equation x^4=x^3 are x=0,x=1
Find the zeros of x^4=x^3
The zeros of x^4=x^3 are x=0,x=1