What are the solutions to the equation x^4-x^3+1=x^4-2x^3+x+1 ?

The solutions to the equation x^4-x^3+1=x^4-2x^3+x+1 are x=0,x=-1,x=1

Find the zeros of x^4-x^3+1=x^4-2x^3+x+1

The zeros of x^4-x^3+1=x^4-2x^3+x+1 are x=0,x=-1,x=1

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

x = 0, x = - 1, x = 1

Solution steps

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

Switch sides

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

Move

1

to the right side

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

Move

x^{3}

to the left side

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

Move

x^{4}

to the left side

- x^{3} + x = 0

Factor

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

- x (x + 1) (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x - 1 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

x = 0, x = - 1, x = 1

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

- x^{6} - x^{5} + x^{4} + x^{3} = 0

79.97 x^{3} - 27.43 x - 52.14 = 0

x, x^{3} - 12 x + 16 = 0

2 x^{3} + 20 x^{2} + 50 x = 0

What are the solutions to the equation x^4-x^3+1=x^4-2x^3+x+1 ?
The solutions to the equation x^4-x^3+1=x^4-2x^3+x+1 are x=0,x=-1,x=1
Find the zeros of x^4-x^3+1=x^4-2x^3+x+1
The zeros of x^4-x^3+1=x^4-2x^3+x+1 are x=0,x=-1,x=1