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

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

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

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

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

x = 0, x = 1, x = 3

Solution steps

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

Move

4

to the right side

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

Move

2 x

to the left side

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

Move

3 x^{2}

to the left side

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

Factor

x^{3} - 4 x^{2} + 3 x : x (x - 1) (x - 3)

x (x - 1) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x - 3 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = 1, x = 3

x^{4} x + 8 = 8 x + 16

2 x^{5} - 12 x^{3} = - 16 x

- λ^{3} - 13 λ^{2} - 56 λ - 80 = 0

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

x^{3} - 10 x^{2} + 28 x + 24 = 0

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